Question

Mike is saving money for his first car. He already saved $300 from cutting grass last summer. He has an after school job and saves $250 from his paychecks every month. This relationship is represented by the equation y = 250x + 300, where x is the number of months and y is the cost of the car.

1. Identify the slope (m) in this relationship.

2. Explain what the slope (m) means in this situation.

3. Identify the y-intercept (b) in this relationship.

4. Explain what the y-intercept (b) means in this situation.

5. Use the equation to determine the number of months Mike will nee

Answer 1

Slope: 250

Answer 2

For every month he works, he makes $250

Answer 3

y-intercept: 300

Answer 4

meaning: the initial amount of money he had starting out was $300.

Answer 5

5. is cut off.

Answer 6

5. Use the equation to determine the number of months Mike will need to save for a car that costs $4000.

6. Use the equation to determine the maximum amount of money Mike can afford to spend on a car if he saves for 12 months.

7. Explain how the amount of time Mike will take to save for his $4000 car will change if he increased the amount of money he saved each month.

8. Explain how the amount of time Mike will take to save for his $4000 car will change if he decreased the amount of money he saved each month.

Answer 7

5. 4000 = 250x+300. Solve for x. Your answer will be in months.

6. y = 250(12) +300

Answer 8

7. Lol he would be able to afford the car faster!

8. It would take longer to save up for the car. (too bad 7 and 8 aren't more specific).

Answer 9

Thanks For Helping me I was Sooo Confused. (;

Answer 10

Do you have a good resource as far as your textbook goes?

Answer 11

Nooopeee.

Answer 12

Okay lemme see what I can do about that.

Answer 13

okay.

Answer 14

when I took algebra 7 years ago, my book was a total piece of pellet.

Answer 15

Paul's notes have always helped me for calculus and maybe the algebra ones will help for you:

http://tutorial.math.lamar.edu/Classes/Alg/Graphing.aspx

Answer 16

hahaha they censor on here!

Answer 17

Haha(: Thanks

Answer 18

So for this problem, your output (y) is in dollars and your input (x) is in months. So if they say if the amount is however many dollars, you know that you have to plug that in to y. If ask something about months, then you plug that into x.

Answer 19

When i solve for x on this problem 4000 = 250x+300. do i do 250+300 ?

Answer 20

4000 - 300 = 250x

3700 = 250x

(3700/250) = (250x/250)

3700/250 = x

Answer 21

Okay.

Answer 22

x = 14.8 months. But we're going to round up. So x= about 15 months

Answer 23

15 months

Answer 24

Does input and output stuff make sense to you?

Answer 25

yeah i get it now.

Answer 26

Yeah Our books Now Aree Stupid too