The linear equation which can be used to determine a user's monthly
bill is c = 60 + 0.05 d ⇒ D
Step-by-step explanation:
The given is:
- A cell phone company charges $60.00 a month for up to 1 gigabyte of data
- The cost of additional data is $0.05 per megabyte
- d represents the number of additional megabytes used
- c represents the total charges at the end of the month
We need to find which equation can be used to determine a user's monthly bill
The form of the linear equation is y = mx + b, where b is the constant amount and m is the rate of change
∵ The company charges $60.00 a month for up to 1 gigabyte of data
- That means it is a constant amount each month
∴ b = 60
∵ The cost of additional data is $0.05 per megabyte
- That means it depends on the number of additional megabyte,
so it is not constant, it is the rate of change
∴ m = 0.05
∵ d represents the number of additional megabytes
∴ x = d
∵ c represents the total charges at the end of the month
∴ y = c
Substitute y by c, m by 0.05, x by d and b by 60 in the form of the linear equation above
∴ c = 0.05 d + 60
- We can rearrange the terms of the right hand side
∴ c = 60 + 0.05 d
The linear equation which can be used to determine a user's monthly
bill is c = 60 + 0.05 d
Learn more:
You can learn more about linear function in brainly.com/question/9801816
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