Question

Sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week. She earned at least $329.75. If h represents the minimum number of hours that Sara could have worked, which inequality represents all the possible values of h?

A) 105h + 7.25 ≥ 329.75
B) 105h + 7.25 ≤ 329.75
C) 7.25h + 105 ≥ 329.75
D) 7.25h + 105 ≤ 329.75

Answer 1

7.25 (h) + 105 ≥ 329.75 represents all the possible values of h.

Explanation:

Sara's earning per hour = $7.25

Amount earned in tips = $105

Total amount she earned = $329.75

h : Minimum number of hours Sara could worked

So, according to the question:

Total amount earned by Sara in h hours =

Amount each hour x h working hours + Tip

= 7.25 (h) + 105

And the earned amount id more than on equal to $329.75

⇒7.25 (h) + 105 ≥ 329.75 is the required inequality which represenst all possible values of h.