Question

Kira wants to save $800 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs given by the following function

A(w)=800-17w

a) how much money does Kira need after 5 weeks?

b) If Kira still needs 494, how much money has she been saving?

Answer 1

Answer: a: $715 , b: $494

Explanation:

Let's use the given function \( A(w) = 800 - 17w \) to find the answers to the questions.

a) To find how much money Kira needs after 5 weeks, substitute \( w = 5 \) into the function:

A(5) = 800 - 17x5

A(5) = 800 - 85

A(5) = 715

So, after 5 weeks, Kira still needs $715.

b) If Kira still needs $494, we can set up the equation:

A(w) = 800 - 17w

Set A(w) equal to $494 and solve for w:

800 - 17w = 494

Subtract 800 from both sides:

-17w = -306

Divide both sides by -17:

w = 18

So, Kira has been saving for 18 weeks. To find out how much money she has been saving, substitute \( w = 18 \) into the function:

A(18) = 800 - 17 x 18

A(18) = 800 - 306

A(18) = 494

Therefore, if Kira still needs $494, she has been saving for 18 weeks and has saved $494.