Question

At a restaurant, 600 customers were served during a 10-hour period of time. Which graph has a slope that best represents the number of customers that were served per hour at this restaurant?

Answer 1

The number of customers that were served per hour at this restaurant is 60 customers per hour

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

600 customers were served during a 10-hour period of time. Hence:

slope = 600 customers / 10 hours = 60 customers per hour.

The number of customers that were served per hour at this restaurant is 60 customers per hour

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Answer 2

The proportional relationship that represents the situation is:

y = 60x.

The graph is given at the end of the answer.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

$y = kx$

In which k is the constant of proportionality.

In this problem, 600 customers were served during a 10-hour period of time, hence:

k = 600/10 = 60.

And the equation is:

$y = 60x, 0 \leq x \leq 10$

The graph is sketched at the end of this answer.

More can be learned about proportional relationships at https://brainly.com/question/10424180