Question
An internet company charges a fee of $45 a month in addition to $0.15 per every gigabyte of data used. Using the function t=0.15d+45
, where t is the total cost per month for internet services and d is the number of gigabytes used, which of the following points on the graph accurately represents a monthly usage of 60 gigabytes of data?(1 point)
Responses
(-60,58)
(-60,58)
(60,54)
(60,54)
(60,45)
(60,45)
(94,60)
, where t is the total cost per month for internet services and d is the number of gigabytes used, which of the following points on the graph accurately represents a monthly usage of 60 gigabytes of data?(1 point)
Responses
(-60,58)
(-60,58)
(60,54)
(60,54)
(60,45)
(60,45)
(94,60)
Answers
GPT-4o mini
To find which point represents a monthly usage of 60 gigabytes of data using the given cost function \( t = 0.15d + 45 \), we can substitute \( d = 60 \) into the equation.
1. Calculate the total cost \( t \):
\[
t = 0.15 \times 60 + 45
\]
\[
t = 9 + 45
\]
\[
t = 54
\]
Thus, when the monthly usage is 60 gigabytes, the total cost is $54.
The point that accurately represents this situation is (60, 54).
So the correct response is:
**(60, 54)**
1. Calculate the total cost \( t \):
\[
t = 0.15 \times 60 + 45
\]
\[
t = 9 + 45
\]
\[
t = 54
\]
Thus, when the monthly usage is 60 gigabytes, the total cost is $54.
The point that accurately represents this situation is (60, 54).
So the correct response is:
**(60, 54)**