3) both sabrina and rex are saving money for a big purchase. sabrina currently
(week 0) has $112 saved, and rex has $84 saved. sabrina saves $10 each week
and rex saves $15 each week. after how many weeks will rex have more money
saved than sabrina?

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.

a

step-by-step explanation: