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A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that shows how the total cost for a month, y, depends on the number of deliveries, x. Do not include dollar signs in the equation.

Answer :

The linear function that models the total cost for x deliveries is:

[tex]y(x) = 2x + 9[/tex]

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A linear function has the following format:

[tex]y = mx + b[/tex]

In which

  • m is the slope, that is, the rate of change.
  • b is the y-intercept, that is, the value of y when x = 0.

In this problem:

  • Fixed cost of $9 per month, [tex]b = 9[/tex].
  • Cost of $2 for each delivery, thus [tex]m = 2[/tex].

The function for the total cost for x deliveries is:

[tex]y(x) = 2x + 9[/tex]

A similar problem is given at https://brainly.com/question/16270359

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