Jake earns money each week for babysitting the neighbor’s young children. He earns a flat rate for each day he babysits and earns an extra $5 per hour for any additional household chores he completed. Yesterday, he did 3 hours of additional work and earned a total of $60.

(a) This can be represented using a linear model, y = mx + b. Where y is the total amount Jake earns in a day. What would the x-variable be in the context of this problem?

(b) Write the point-slope linear equation that can be used to determine amount of money Jake can earn during any given babysitting job. Remember, point slope is y – y₁ = m(x – x₁)

(c) Rearrange your equation so it is in slope-intercept form. Be sure to show your work. What does the “b” represent in the context of this problem?