Answer:
a) $686
b) 17 weeks
Step-by-step explanation:
a) Set [tex]w=6[/tex], as Pablo has already saved for 6 weeks. Plug in the value and solve for [tex]A(6)[/tex].
[tex]A(w)=800-19w[/tex]
[tex]A(6)=800-19(6)[/tex]
[tex]A(6)=800-114[/tex]
[tex]A(6)=686[/tex]
Pablo still needs $686.
b) Set [tex]A(w)=477[/tex], as it is the "final amount" for that week. Â Solve for [tex]w[/tex].
[tex]A(w)=800-19w[/tex]
[tex]477=800-19w[/tex]
[tex]-323=-19w[/tex]
[tex]w=17[/tex]
Pablo has been saving for 17 weeks if he still needs $477.
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.
[tex]A(w)= 800-19w[/tex]
(a) How much money does Pablo still need after 6 weeks?
Putting w = 6 in the equation;
[tex]A(6)= 800-19(6)[/tex]
= $686
(b) If Pablo still needs $477, how many weeks has he been saving?
This means Pablo has already saved [tex]800-477=323[/tex] dollars
Means he has saved for [tex]\frac{323}{19}=17[/tex] weeks.
He has been saving for 17 weeks now.
