Question

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 1

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

$y(x) = 2x + 9$

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A linear function has the following format:

$y = mx + b$

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, $b = 9$.
• Cost of $2 for each delivery, thus $m = 2$.

The function for the total cost for x deliveries is:

$y(x) = 2x + 9$

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