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? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b

Answer 1

Answer: It is C

Explanation:

math

Answer 2

1560 = 30(52) + b

Explanation:

First job has $1200 in labor expenses for 40 hours worked,

Point (x,y)

(40, 1200

Second job has $1560 in labor expenses for 52 hours worked.

Point (x,y)

(52,1560

Slope of the line, m

m=1560-1200/52-40

=360/12

=30

Slope intercept,y

y=mx+b

Where,

b= y intercept

y=30x+b

points: (40,1200) and

(52,1560)

Equation to find y-intercept

y=30x+b

For point (40,1200)

1200 = 30(40) + b

y=30x+b

For point (52,1560)

1560 = 30(52) + b

The correct equation is

1560 = 30(52) + b