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Mathematics 24 Online
OpenStudy (amypurplediaz28):

please help i will fan and medal.

OpenStudy (amypurplediaz28):

(04.07) Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people per year is represented by the function f(t) = 3(2)t. What does the t represent? How many people were recruited in year 6? t represents the year number; 36 people were recruited in year 6 t represents the year number; 192 people were recruited in year 6 t represents the number of people; 192 people were recruited in year 6

OpenStudy (amypurplediaz28):

hello,

OpenStudy (amypurplediaz28):

i dont mean to be rude i just think that the website is not refreashing because it keeps typing

OpenStudy (ciarán95):

f(t) = 3(2)t Let's look at what each of the symbols in our function means: - We are told in the question that we have a function f which represents the number of people recruited per year. - Our function f is express with respect to t, hence 'f(t)'. So, the value of our function f directly depends on the value we input for t. In this case, we can think of f as a machine, in which we input a certain value for t and we get out a value for f(t). - 't' represents the time we are evaluating the function at, in this case the year we are dealing with. In year 1, for example, we say t = 1 and: f(t = 1) = f(1) = 3(2)(1) = 6 In year 2, t = 2 and: f(2) = 3(2)(2) = 12 So, for year 6, t = 6 and: f(6) = 3(2)(6) which if you work out should give you the answer!

OpenStudy (amypurplediaz28):

would it be b?

OpenStudy (amypurplediaz28):

@Ciarán95

OpenStudy (ciarán95):

No, it's not B @amypurplediaz28 ! Remember, to work out the number of people in year 6, we need to work out: f(6) = 3 x 2 x 6 So what's the answer?

OpenStudy (amypurplediaz28):

oh so it would be a right?

OpenStudy (amypurplediaz28):

because of the 36

OpenStudy (ciarán95):

Yes, that's correct, f(6) = 36 people in year 6! :)

OpenStudy (amypurplediaz28):

thx but do u mind helping with one more?

OpenStudy (ciarán95):

I will try if I can! What's your question?

OpenStudy (amypurplediaz28):

(04.07) Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice costs $2.25 and the peaches are $0.75 each. The function f(x) = 0.75x + 2.25 represents Julie's expenses at the grocery store. What do the f(x) and the x represent? f(x) represents the number of items purchased at the grocery store; x represents the number of peaches purchased f(x) represents the total cost of the grocery bill; x represents the cost per peach f(x) represents the number of items purchased at the grocery store; x represents the cost per peach f(x) represents the total cost of the groceries; x represents the number of peaches purchased

OpenStudy (amypurplediaz28):

it is sort of the same but i dont get it

OpenStudy (trawoods):

try looking at it again

OpenStudy (ciarán95):

f(x) = 0.75x + 2.25 So, we'll look at this one step at a time. f is a function which represents the total amount of money Julie spends. If each peach costs $0.75, what do you think the 'x' represents beside it?

OpenStudy (amypurplediaz28):

would it be c

OpenStudy (trawoods):

yes it would

OpenStudy (ciarán95):

Nope, C isn't right @amypurplediaz28 .....Let's try and look at this again!

OpenStudy (amypurplediaz28):

my other choice was b but i am not sure

OpenStudy (amypurplediaz28):

@Ciarán95

OpenStudy (ciarán95):

If I went into a shop and spent $2 on apples which cost $1 each, how many apples would I have bought? Of course, I must have bought 2 apples, as $2 = $1 x 2 apples This is exactly what we're showing here in our function. f(x) is a function which represents the total amount Julie spends in the store. We know she buys 1 orange juice costing $2.25. We also know she buys a certain number of peaches, each of which will cost $0.75. So, 'x' must represent the total number of peaches that she bought, which we multiply by $0.75 to find the total amount she spent on peaches overall. It's just like when we multiplied $1 and 2 apples above! We then add this to $2.25 (for her 1 orange juice) to get the total value of our function overall. So what's the right answer...it's not A either!

OpenStudy (amypurplediaz28):

so its d right

OpenStudy (ciarán95):

Yes, you've got it....well done :)

OpenStudy (amypurplediaz28):

thank u so much

OpenStudy (ciarán95):

No worries, hope that helped you out! :)

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