Question

Indira charges a flat fee of $10, plus $5 per hour to teach violin. If you create a linear equation for how much money Indira makes after a given number of hours, which statements are true about the linear equation? Select all that apply.

A. The y-intercept of the linear equation is 10.
B. The slope of the linear equation is 5.
C. The y-intercept of the linear equation is 0.
D. The y-intercept of the linear equation is 5.
E. The slope of the linear equation is 10.
F. The slope of the linear equation is 105, or 2.

Answer 1

The linear equation for how much money Indira makes after a given number of hours is y = 5x + 10. The y-intercept of the linear equation is 10, and the slope of the linear equation is 5.

Step-by-step explanation:

The linear equation for how much money Indira makes after a given number of hours is y = 5x + 10. The y-intercept of the linear equation is 10, denoted by the constant term in the equation. The slope of the linear equation is 5, which represents the rate at which the money earned increases per hour. Therefore, the true statements about the linear equation are:

• A. The y-intercept of the linear equation is 10.
• B. The slope of the linear equation is 5.