Question

Marie is saving money for home repairs. To date, she has saved $1,329. She needs at least $1,569 for the repairs. She plans to set aside $40 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs? $1,329 + $40x > $1,569

Answer 1

x > 6

Explanation:

Subtract $1329 from both sides, then divide by $40.

$1,329 + $40x > $1,569

$40x > $240

x > 6

Marie needs to save for more than 6 more weeks.

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Comment on the answer

The given inequality is written using the > symbol. Marie would have exactly enough to cover the projected cost after 6 weeks, but it is appropriate from a finance point of view for her to save more than the required amount. It will take more than 6 weeks for her to do that.