Question

Question 12

John owns a computer repair service. For each computer, he charges $50 plus $45 per hour of work. A linear equation that expresses the total amount of money John earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope?

Select the correct answer below:

The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.

John charges a one-time fee of $50 (this is when x=0), so the y-intercept is 50. John earns $45 for each hour he works, so the slope is 45.

The independent variable (x) is the amount, in dollars, John earns for a computer. The dependent variable (y) is the amount of time John fixes a computer.

John charges a one-time fee of $45 (this is when x=0), so the y-intercept is 45. John earns $50 for each hour he works, so the slope is 50.

The independent variable (x) is the amount, in dollars, John earns for a computer. The dependent variable (y) is the amount of time John fixes a computer.

John charges a one-time fee of $50 (this is when x=0), so the y-intercept is 50. John earns $45 for each hour he works, so the slope is 45.

The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.

John charges a one-time fee of $45 (this is when x=0), so the y-intercept is 45. John earns $50 for each hour he works, so the slope is 50.

Answer 1

Given that John owns a computer repair service. For each computer, he charges $50 plus $45 per hour of work.

Given that a linear equation that expresses the total amount of money John earns per computer is y=50+45x.

The given equation is in the form of linear equation as y = f(x) = a+bx

That is y is function of x in which a is y intercept and b is slope.

Where, (x) is independent variable and (y) is dependent variable.

In the above equation, it is obvious that

The independent variable (x) is the amount of time John fixes a computer.

The dependent variable (y) is the amount, in dollars, John earns for a computer.

Here, the variable (y) is the amount, in dollars, John earns for a computer is a function of variable (x) is the amount of time John fixes a computer, that is the variable (y) is dependent on the variable (x).

Then John charges a one-time fee of $50 (this is when x=0), so the y-intercept is 50 (a = 50).

And John earns $45 for each hour he works, so the slope is 45 (b= 45) .