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Boris wants to save $700 to buy a TV. He saves $19 each week. The amount, A (in dollars), that he still needs after w weeks is given by the following function.=Aw−70019wAnswer the following questions.(a) How much money does Boris still need after 7 weeks?$(b) If Boris still needs $339, how many weeks has he been saving?weeks

Question

Boris wants to save 700tobuyaTV.Hesaves700 to buy a TV. He saves 19 each week. The amount, A (in dollars), that he still needs after w weeks is given by the following function.=Aw−70019wAnswer the following questions.(a) How much money does Boris still need after 7 weeks?(b)IfBorisstillneeds(b) If Boris still needs 339, how many weeks has he been saving?weeks

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Solution

(a) To find out how much money Boris still needs after 7 weeks, we need to substitute w=7 into the function A=700-19w.

A = 700 - 19*7 A = 700 - 133 A = $567

So, Boris still needs $567 after 7 weeks.

(b) If Boris still needs $339, we need to set A=339 in the function A=700-19w and solve for w.

339 = 700 - 19w 19w = 700 - 339 19w = 361 w = 361 / 19 w = 19 weeks

So, Boris has been saving for 19 weeks.

This problem has been solved

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