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Mathematics

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Suppose a line graphed on a coordinate plane represents the distance traveled in miles by an automobile as a function of time in hours. Assuming that the relationship between time and distance traveled is proportional, which of these statements is correct? Select one that applies.

A. If the automobile was going 30 mph, the slope of the line is.
C. If the automobile was going mph, the y-intercept of the line is
D. If the automobile was going mph, the y-intercept of the line is.
E. If the automobile was going mph, the y-intercept of the line is.

Answer :

joaobezerra joaobezerra

Today at 1:30 PM

Using linear function concepts, it is found that the correct option is:

A. If the automobile was going 30 mph, the slope of the line is 30.

A linear function is modeled by an equation in the following format:

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

In which:

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

In this problem, the relationship between time and distance traveled is proportional, which means that slope is given by the velocity. Thus, the correct option is:

A. If the automobile was going 30 mph, the slope of the line is 30.

A similar problem is given at https://brainly.com/question/16302622

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