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olganol [36]
2 years ago
11

Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per

month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Sarah can use while staying within her budget.
Mathematics
1 answer:
zalisa [80]2 years ago
7 0

Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:

C(g) = 4g + 69.

She wants to keep her bill at $83.80 per month, hence:

C(g) = 83.80

4g + 69 = 83.80

4g = 14.80

g = 14.80/4

g = 3.7.

Sarah can use 3.7 gigabytes while staying within her budget.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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