3. the grade a student earns on a test varies directly with the amount of time the student spends studying. suppose a student spends 5.5 hours studying and makes a grade of 76% on the test. what is an equation that relates the grade earned on a test, g, with the amount of time spent studying, t, in hours? what is the garish of your equation.

The required equation is .

Step-by-step explanation:

Consider the provided information.

It is given that The grade a student earns on a test varies directly with the amount of time the student spends studying.

First find the slope of the line using the formula:

Since the grade rise to 76 after spending 5.5 hours studying.

Thus, the slope of the line is:

It is given that equation varies directly with the amount of time the student spends studying.

Thus the equation should be in form of

where k is a constant.

Substitute b=g, a=t and k=13.8182 in .

Hence, the required equation is .

Check: Substitute t=5.5 in