Question

20 Points on the line here!
Deena works at a customer service call center. She fields an average of 7 calls per hour. Employees are encouraged to field more than 280 calls per week. Deena has already fielded 126 calls this week.

How many more hours, x, does Deena need to work this week to reach the weekly goal of fielded calls if she continutes to field an average of 7 calls per hour? Select the inequality that includes the fewest number of hours Deena can work this week and still reach the weekly goal.
A.
x > 40
B.
x > 29
C.
x > 22
D.
x > 2

Answer 1

Answer:

C.  

x > 22

Step-by-step explanation:

Deena has already taken 126 calls

She takes 7 calls per hour ( think slope)

y = mx+b

y = 7x+126

She needs to take  at least 280 calls.  So what she does must be greater than 280

280  <7x+126

We need to isolate x.  The first step is to subtract 126 from each side

280-126 < 7x + 126 -126

154 < 7x

Next, we divide by 7 on each side

154/7 < 7x/7

22 < x