Question

3) Both Sabrina and Rex are saving money for a big purchase. Sabrina currently

Answer 1

Answer:

Approx 6 weeks

Step-by-step explanation:

Represent Sabrina's savings by S(w) = $112 + ($10/wk)w, and

Rex's by R(w) = $84 + ($15/wk)w.

Equate these to determine the number of weeks it will take for their respective savings to become equal:

$112 + ($10/wk)w = $84 + ($15/wk)w

first, combine the constant dollar amounts:

$112 - $84 + ($10/wk)w = ($5/wk)w

next, subtract  ($5/wk)w  from both sides, obtaining:

$28 = ($5/wk)w

Finally, divide both sides by  ($5/wk)w, obtaining:

w = 5.6 weeks

Thus, the answer here is that Rex will have more money saved than Sabrina after 5.6 weeks; we could round that off to 6 weeks.