Discover new information and insights with the help of IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.

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


Sagot :

the closest i can think of that makes since is 1560=30(52)+b, mainly because
30 x 52 = 1560 so that's what i think it is and if im wrong sry.

Answer:

The correct equation is 1560 = 30(52) + b

C is correct

Step-by-step explanation:

A tiling company completes two jobs.

The first job has $1200 in labor expenses for 40 hours worked.

Point: (40,1200)

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

Point: (52,1560)

Using two point we make linear equation.

First we find the slope of line

[tex]m=\dfrac{1560-1200}{52-40}[/tex]

[tex]m=\dfrac{360}{12}[/tex]

[tex]m=30[/tex]

Slope intercept form: y=mx+b

where, b is y-intercept

y=30x+b

Passing points: (52,1560)   and   (40,1200)

Possible equation to find y-intercept

1200 = 30(40) + b

1560 = 30(52) + b

Hence, The correct equation is 1560 = 30(52) + b

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.