Question

A survey of customers at a restaurant revealed that 7 out of 10 customers preferred the restaurants new spaghetti sauce. Which graph shows a relationship between y, the number of customers who preferred the new spaghetti sauce, and x, the total of customers?

Answer 1

The graph that shows the proportional relationship y = 0.7x is Graph A.

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, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:

k = 7/10 = 0.7.

And the equation is:

y = 0.7x.

When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.

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