3) Sarah wants to buy a snowboard that has a total cost of $580, including tax. She has already
saved $135 for it. At the end of each week, she is paid $96 for babysitting and is going to save
three-quarters of that for the snowboard.
a) Write an inequality that can be used to determine the minimum number of weeks Sarah
needs to babysit to have enough money to purchase the snowboard.
b) Determine and state the minimum number of full weeks Sarah needs to babysit to have
enough money to purchase the snowboard.

Question

contestada

Respuesta :

rtzomkyi rtzomkyi · Answer 1 · 2020-11-05T04:15:52+01:00

Step-by-step explanation:

A) Let X= the number of weeks 46 times 3/4 = 72. And 135+72 x >_ 580

B) 135+72 x >_ 580. 580-135. 72/72 >_ 445/72

x >_ 6.2

She must work a minimun of 7 weeks to get $580.

Answer Link

adioabiola adioabiola · Answer 2 · 2021-11-11T11:24:34+01:00

The minimum number of weeks Sarah

needs to babysit to have enough money to purchase the snowboard is 135 + 72w ≥ 580

Given:

Total cost of snowboard = $580

Amount saved already = $135

Amount paid for baby sitting = $96

Amount saved from babysitting = 3/4 × 96

= 0.75 × 96

= $72

let

number of weeks = w

The inequality:

135 + (72 × w) ≥ 580

135 + 72w ≥ 580

Solve for w

135 + 72w ≥ 580

72w ≥ 580 - 135

72w ≥ 445

w = 445 / 72

w = 6.1805555555555

Approximately, 6 weeks

Therefore, the minimum number of full weeks Sarah needs to babysit to have

enough money to purchase the snowboard is 6 weeks