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 2 329.75
105h + 7.25 5 329.75
7.25h + 105 2 329.75
7.25h + 105 S 329.75

Answer 1

Answer:

The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is                               105 + 7.25 h $\geq$329.75  

Step-by-step explanation:

Given as :

The earning of Sara in per hour amount = $7.25 per hour

The additional earning of Sara as tips = $105

The Total earning of Sara = $329.75

Let The minimum number of hours that Sara could have worked =  h hours

Now, According to question

The Total earning of Sara = The earning of Sara in per hour amount × minimum working hours + The additional earning of Sara as tips

I.e $329.75 = $7.25 per hour × h + $105

Or, $105 + $7.25 per hour × h = $329.75

Or, $7.25 per hour × h = $329.75 - $105

Or, 7.25 per hour × h = 224.75

∴ h = $\dfrac{224.75}{7.25}$

I,e h = 31 hours

So, The number of hours Sara worked = h = 31 hours . Answer

Hence, The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is                               105 + 7.25 h $\geq$ $329.75  

Answer