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

Answer 1

Answer:

a) $686

b) 17 weeks

Step-by-step 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.

Answer 2

Answer:

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 $\frac{323}{19}=17$ weeks.

He has been saving for 17 weeks now.