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Mackenzie has a points card for a movie theater she receives 55 rewards points just for signing up she earns 2.5 points for each visit to the movie theater she needs 70 points for a free movie ticket write and solve an equation which can be used to determine x, the number of visits mackenzie must make to earn a free movie ticket

Respuesta :

Using a linear function, Mackenzie must make 6 visits to earn a free movie ticket.

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 intercept is of 55.
  • The slope is of 2.5.

Hence the function is given by:

y = 55 + 2.5x.

She needs 70 points, hence the number of visits is given by:

70 = 55 + 2.5x

2.5x = 15

x = 15/2.5

x = 6 visits.

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

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