Question

You are paid $34 to babysit for 3 hours. You are paid $74 to babysit for 8 hours. Write an equation that represents the amount y (in dollars) you are paid for babysitting for x hours.

Answer 1

To write the equation, we find the slope and y-intercept. The equation is y = 8x + 10.

Step-by-step explanation:

To write an equation that represents the amount you are paid for babysitting for x hours, we need to find the slope and y-intercept. First, we can find the slope by subtracting the amount you are paid for 3 hours from the amount you are paid for 8 hours: 74 - 34 = 40. Then, we calculate the hourly rate by dividing the change in pay by the change in hours: 40 / (8 - 3) = 8.

Now we have the slope, which represents the amount you are paid per hour. We can find the y-intercept by substituting one of the points (3, 34) into the equation y = mx + b and solving for b. 34 = 8(3) + b, b = 34 - 24 = 10.

Therefore, the equation that represents the amount y (in dollars) you are paid for babysitting for x hours is: y = 8x + 10.