Question

A smart phone plan has a monthly base fee that includes 5 gigabytes of data. An overage charge is applied when the data usage exceed 5 gigabytes. The equation C = 59 + 15(g − 5) models the plan, where C represents the monthly cost, in dollars, and g represents the total number of gigabytes used for the month. What does the value 15 represent in the equation

A:The base fee per month, in dollars, for the plan

B: The cost, in dollars, for each additional gigabyte used.

C:The average cost, in dollars, for data usage per month.

D:The average data usage, in gigabytes, per month

Answer 1

B The cost, in dollars, for each additional gigabyte used.

Explanation:

C = 59 + 15(g − 5)

when g=5, C=59 where it is the monthly cost

when g=6, c=59 +15, interpret that each additional gigabyte used will increase the cost for 15

Answer 2

B. The cost, in dollars, for each additional gigabyte used.

Explanation:

We are given that,

The equation modeled for the plan is,
`C=59+15(g-5)`.

Since, we have that,

The plan has a monthly charge that includes 5 gigabytes of data and over-charge fee for gigabytes exceeding 5 gigabytes.

Thus, when g= 5, C= 59, in dollars.

Also, when g> 5,
`C=59+15(g-5)`.

So, we get that,

The expression
`15(g-5)` represents the cost for the additional
`(g-5)` gigabytes used.

Thus, 15 represents the cost, in dollars, for the additional gigabytes used.

Thus, option B is correct.