Question

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? ​

Answer 1

Answer: 1560 = 30(52) + b

Explanation:

Based on the information given in the question, the straight line passes through two points which are (40, 1200) and (52, 1560). Then, the equation if the straight line will be:

y - 1560 = (1200 - 1560)/(40 - 52) (x - 52)

y - 1560 = (-360)/(-12) (x - 52)

y - 1560 = 30(x - 52)

Lets put the value of x to be 0.

y - 1560 = 30(x - 52)

y - 1560 = 30(0 - 52)

y - 1560 = -30(52)

Therefore, 1560 = 30(52) + b