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Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Liam can use while staying within his budget.

Under his cell phone plan Liam pays a flat cost of 6950 per month and 5 per gigabyte He wants to keep his bill under 90 per month Write and solve an inequality class=

Respuesta :

Using a linear function, the inequality is given by: 69.5 + 5x < 90.

The solution is: x < 4.1.

What is a linear function?

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.

In this problem, we have that:

  • The y-intercept is the flat cost of $69.50.
  • The slope is the cost per gigabyte of $5.

Hence the cost of using x gigabytes is:

C(x) = 69.5 + 5x.

The cost has to be under 90, hence the inequality is:

C(x) < 90

69.5 + 5x < 90.

Then the solution is:

5x < 90 - 69.5.

x < 20.5/5

x < 4.1.

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

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