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Mathematics 12 Online
OpenStudy (quickstudent):

I wrote a story using algebraic expressions, can someone please tell me if it is correct?

OpenStudy (quickstudent):

Tara loves music. She is looking for a new music CD to listen to, so she decides to go to her local music store. As she gets in the car, she wonders if she will have enough gas to get there and back. She thinks, "I know my car goes 45 miles per gallon". She puts the situation in an equation, where g represents the number of gallons of gas in the tank, and m represents the number of miles she will be able to go: m = 45g. When she gets to the music store, she looks at the sign above the door, announcing a sale. "$3 off every purchase. Today Only!" Tara thinks, "I know that every CD costs about $5". To estimate about how much money she may spend, she makes an equation, where c represents the number of CDs purchased, and m represents the amount of money they will altogether cost: m = 5c - 3. As Tara drives home, she sees another sale in a natural perfume store. "Get 1 free for each purchased perfume". Tara likes perfume, especially when it was all natural. She thought, "I know that every perfume cost $10". She decided to use an equation to see how much she may spend, where p represents the number of perfumes she buys, and m represents how much they will all cost: c = 10p * 0.5. After Tara leaves the perfume store, she returns home. When she gets home, she thinks about the money she had spent that day. She decides to start a budget that will work for her needs. Tara thinks, "I know that I spent about $150 per week on shopping". To estimate about how much money she would need to earn per month in order to stay on that budget, she makes an equation where w represents the number of weeks, and n represents the amount of money she would need: n = 150w. After calculating her money needs, she decides to play a game with her little brother. After a while of playing, she noticed a pattern in the number of points her brother was earning at each turn. Her brother was earning 15 points on every turn. Tara wondered how many turns would it take for her brother to win the game. She decided to use an equation, where t represents the number of turns played, and e represents the number of points earned altogether: e = 15t.

OpenStudy (elonasushchik):

I think u r correct!

OpenStudy (quickstudent):

You read that fast?

Directrix (directrix):

There's an incorrect variable here, and I'm not seeing the source of the .5 in the "story." --> She thought, "I know that every perfume cost $10". She decided to use an equation to see how much she may spend, where p represents the number of perfumes she buys, and m represents how much they will all cost: c = 10p * 0.5. How does m turn to c?

OpenStudy (quickstudent):

Oh, that was a mistake.

OpenStudy (quickstudent):

Let me make a few corrections on it now.

Directrix (directrix):

Tara wondered how many turns would it take for her brother to win the game. While you have this: She decided to use an equation, where t represents the number of turns played, and e represents the number of points earned altogether: e = 15t. 15*t gives the brother's total number of points but does not indicate how many turns are necessary to win the game.

OpenStudy (quickstudent):

Ok, look at it now: Tara loves music. She is looking for a new music CD to listen to, so she decides to go to her local music store. As she gets in the car, she wonders if she will have enough gas to get there and back. She thinks, "I know my car goes 45 miles per gallon". She puts the situation in an equation, where g represents the number of gallons of gas in the tank, and m represents the number of miles she will be able to go: m = 45g. When she gets to the music store, she looks at the sign above the door, announcing a sale. "$3 off every purchase. Today Only!" Tara thinks, "I know that every CD costs about $5". To estimate about how much money she may spend, she makes an equation, where c represents the number of CDs purchased, and m represents the amount of money they will altogether cost: m = 5c - 3. As Tara drives home, she sees another sale in a natural perfume store. "Get 1 free for each purchased perfume". Tara likes perfume, especially when it was all natural. She thought, "I know that every perfume cost $10". She also knows that this was another way of saying a half-off sale. She decided to use an equation to see how much she may spend, where p represents the number of perfumes she buys, and m represents how much they will all cost: m = 10p * 0.5. After Tara leaves the perfume store, she returns home. When she gets home, she thinks about the money she had spent that day. She decides to start a budget that will work for her needs. Tara thinks, "I know that I spent about $150 per week on shopping". To estimate about how much money she would need to earn per month in order to stay on that budget, she makes an equation where w represents the number of weeks, and n represents the amount of money she would need: n = 150w. After calculating her money needs, she decides to play a game with her little brother. After a while of playing, she noticed a pattern in the number of points her brother was earning at each turn. Her brother was earning 15 points on every turn. Tara wondered how many turns would it take for her brother to win the game. She decided to use an equation, where t represents the number of turns played, and e represents the number of points earned altogether: e = 15t.

OpenStudy (elonasushchik):

Claps and pats on the back. Good job @quickstudent

Directrix (directrix):

On this, buy one, get one free, the formula where p represents the number of perfumes she buys, and m represents how much they will all cost: c = 10p * 0.5 would work if she buys an even number of bottles of perfume.

OpenStudy (quickstudent):

Ok, how is it now: Tara loves music. She is looking for a new music CD to listen to, so she decides to go to her local music store. As she gets in the car, she wonders if she will have enough gas to get there and back. She thinks, "I know my car goes 45 miles per gallon". She puts the situation in an equation, where g represents the number of gallons of gas in the tank, and m represents the number of miles she will be able to go: m = 45g. When she gets to the music store, she looks at the sign above the door, announcing a sale. "$3 off every purchase. Today Only!" Tara thinks, "I know that every CD costs about $5". To estimate about how much money she may spend, she makes an equation, where c represents the number of CDs purchased, and m represents the amount of money they will altogether cost: m = 5c - 3. As Tara drives home, she sees another sale in a natural perfume store. "Half-off every perfume purchased". Tara likes perfume, especially when it was all natural. She thought, "I know that every perfume cost $10". She decided to use an equation to see how much she may spend, where p represents the number of perfumes she buys, and m represents how much they will all cost: m = 10p * 0.5. After Tara leaves the perfume store, she returns home. When she gets home, she thinks about the money she had spent that day. She decides to start a budget that will work for her needs. Tara thinks, "I know that I spent about $150 per week on shopping". To estimate about how much money she would need to earn per month in order to stay on that budget, she makes an equation where w represents the number of weeks, and n represents the amount of money she would need: n = 150w. After calculating her money needs, she decides to play a game with her little brother. After a while of playing, she noticed a pattern in the number of points her brother was earning at each turn. Her brother was earning 15 points on every turn. Tara wondered how many points her brother would have by the time he finished all his turns.. She decided to use an equation, where t represents the number of turns played, and e represents the number of points earned altogether: e = 15t.

Directrix (directrix):

I don't know how exacting this has to be but .. (what grade level or age) have enough gas to get there and back ======================== in the first paragraph, the stated question is whether she has enough gas to get there and back. The number of miles she can travel is computed by the formula but the matter of whether that amount is sufficient to get her there and back is not addressed.

Directrix (directrix):

To estimate about how much money she would need to earn per *month* in order to stay on that budget ============= represents the number of weeks, and n represents the amount of money she would need: n = 150w. Formula gives the amount of money needed for w weeks, not for a month.

Directrix (directrix):

The story is in good form. Just make a few cosmetic changes.

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