In this question, it is given that
Leanne has a gas card that has $150 on it. She spends $25 a week on gas.
And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .
Recursive rule shows the relationship between previous value and the current value .
And here, the recursive rule is

Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .
So for n=1, that is amount in the card after 1 week, we will get

And that's the amount remaining in the card after 1 week .
The 3r would be the independent variable and m=30 is the dependent variable. Double check the answer though.
Answers
:
a. what do variables x and y represent? use the phrase ‘is a function of’ to describe how the two quantities relate to each other.
answer: y is a function of the total cooking times Amber will need to prepare her dishes. x is a function of the certain number of minutes it will take to cook the turkey per pound.
b. what does the value 40 represent?
answer: how long the mac and cheese will cook
c. what does the rate of change represent?
answer: for every pound that the turkey weighs, you would have to cook it for 15 minutes
d. what is the total cooking time for just the turkey if it weighs 12 pounds? how do you know?
answer:
y = 15x + 40
y = 15(12) + 40
y = 180 + 40
y = 210 minutes