Question

The phone company Blurizon has a monthly cellular plan where a customer pays a flat

fee for unlimited voice calls and then a certain amount per GB of data used. If a
customer uses 12 GB, the monthly cost will be $105. If the customer uses 34 GB, the
monthly cost will be $237.

A) Find an equation in the form y = mx + b, where is the number of GB of data
used in a month and y is the total monthly cost of the Blurizon plan.
Answer: y =

B) Use your equation to find the total monthly cost if 14 GB are used.
Answer: If 14 GB are used, the total cost will be____
dollars.​

Answer 1

(a)y=6x+33

(b)$117

Explanation:

If a customer uses 12 GB, the monthly cost will be $105.

If the customer uses 34 GB, the monthly cost will be $237.

given that

• x is the number of GB of data used in a month; and
• y is the total monthly cost of the Blurizon plan.

We have the pairs: (12, 105) and (34, 237)

(A)To determine the straight-line equation, we first determine the slope, m.

`m=(237-105)/(34-12)\\\\=(132)/(22)\\\\m=6`

Substitution into y = mx + b, we have: y=6x+b

Next, we determine the value of b

When y=105, x=12

105=6(12)+b

b=105-6(12)=33

Therefore, an equation in the form y = mx + b is:

y=6x+33

(B)

Total Cost, y=6x+33

When 14 GB are used, i.e. x=14

y=6(14)+33

y=$117

If 14 GB are used, the total cost will be 117 dollars.