Alonzo wants to save $700 to buy a TV he saves $17 each week the amount,a (in dollars) that he still needs after w weeks is given by the following function
A(W)=700-17w
a)if Alonzo still needs $4110, how many weeks has he been saving
_______weeks
b)how much money does Alonzo still need after 7 weeks
$_____
a) To find the number of weeks Alonzo has been saving, we need to set up the equation A(w) = 4110 and solve for w.
A(w) = 700 - 17w
4110 = 700 - 17w
Add 17w to both sides:
4110 + 17w = 700
Subtract 700 from both sides:
3410 = 17w
Divide both sides by 17:
w = 200
Therefore, Alonzo has been saving for 200 weeks.
b) To find out how much money Alonzo still needs after 7 weeks, we need to plug in w = 7 into the function A(w).
A(w) = 700 - 17w
A(7) = 700 - 17(7)
A(7) = 700 - 119
A(7) = 581
Therefore, Alonzo still needs $581 after 7 weeks.