Question

Pablo wants to save $800 to buy a TV. He saves $19 each week. The amount, A (in dollars), that he still needs after

weeks is given by the following function.
A(w) = 800-19 w
Answer the following questions.
(a) How much money does Pablo still need after 6 weeks?
si )3
(b) If Pablo still needs $477, how many weeks has he been saving?
I weeks​

Answer 1

Pablo wants to save $800 to buy a TV.

He saves $19 each week.

The amount, A (in dollars), that he still needs after weeks is given by the following function.

`A(w)= 800-19w`

(a) How much money does Pablo still need after 6 weeks?

Putting w = 6 in the equation;

`A(6)= 800-19(6)`

= $686

(b) If Pablo still needs $477, how many weeks has he been saving?

This means Pablo has already saved
`800-477=323` dollars

Means he has saved for
`(323)/(19)=17` weeks.

He has been saving for 17 weeks now.

Answer 2

a) $686

b) 17 weeks

Explanation:

a) Set
`w=6`, as Pablo has already saved for 6 weeks. Plug in the value and solve for
`A(6)`.

`A(w)=800-19w`

`A(6)=800-19(6)`

`A(6)=800-114`

`A(6)=686`

Pablo still needs $686.

b) Set
`A(w)=477`, as it is the "final amount" for that week. Solve for
`w`.

`A(w)=800-19w`

`477=800-19w`

`-323=-19w`

`w=17`

Pablo has been saving for 17 weeks if he still needs $477.