Question

Ivanna wants to save $600 to buy a TV. She saves $19 each week. The amount A (in dollars), that she still needs after w weeks is given the following function.

A(w) = 600 - 19w

If Ivanna still needs $239, how many weeks has she been saving?

a) 15 weeks
b) 14 weeks
c) 12 weeks
d) 13 weeks

Answer 1

Ivanna has been saving for 19 weeks to have only $239 left to save for the TV.

Step-by-step explanation:

The student is asking about how many weeks it takes for Ivanna to save up to a certain amount if she saves $19 each week. To find out how many weeks Ivanna has been saving, we use the function A(w) = 600 - 19w, where A(w) represents the amount she still needs to save after w weeks. Since it is given that Ivanna still needs $239, we set the equation to 239 = 600 - 19w and solve for w.

First, subtract 600 from both sides to isolate -19w:
239 - 600 = -19w
-361 = -19w
Then, divide both sides by -19 to solve for w:
w = -361 / -19
w = 19.

Therefore, Ivanna has been saving for 19 weeks.