Question

H. When the iPhone 7 was released, Sprint charged a monthly fee, m, of $50 for an unlimited data, text and call plan. Customers made a down payment, D, of $76 for the iPhone 7. To upgrade to the iPhone X, the monthly fee was the same, but the down payment increased by $124. The equations Sprint can use to model the monthly costs of the IPhone 7 and IPhone X are and Blank #1 Blank #2 Blank #1: (A) D = 50m + 76 (B) D-50m - 76 (C) D = 76m + 50 (D) D - 50m + 76 Blank #2: (A) D 50m + 124 (B) - 50m (124 - 76) (C) D 50m +(124 + 76) (D) - 124 + (50m +76)

Answer 1

Option A and B are correct.

Step-by-step explanation

We are asked to pick values of x that satisfy the given inequality expression

-4 ≤ 2 (2 + 4x) < 0

Best way is to break this inequality expression into two and solve each part

2 (2 + 4x) ≥ -4

4 + 8x ≥ -4

8x ≥ -4 - 4

8x ≥ -8

Divide both sides by 8

(8x/8) ≥ (-8/8)

x ≥ -1

2 (2 + 4x) < 0

4 + 8x < 0

8x < -4

Divide both sides by 8

(8x/8) < (-4/8)

x < -(1/2)

So, these two answers mean that x is equal to or grater than -1 but less than -(1/2)

-1 ≤ x < -(1/2)

So, amongst the options, we know

-(2/3) is an answer

-1 is an answer

-(1/2) is not an answer

0 is not an answer

(1/2) is not an answer

Hope this Helps!!!