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?

A. \(1200 = 40(40) + b\)
B. \(1560 = 30(40) + b\)
C. \(1560 = 30(52) + b\)
D. \(1200 = 52(30) + b\)

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.

Answered by Anonymous | 2024-06-10

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

Answered by isyllus | 2024-06-12

The correct equation to calculate the y-intercept from the given jobs' data is C: 1560 = 30(52) + b. The slope of the relationship is 30, derived from the labor expenses and hours worked. Substituting these values confirms that equation C is consistent with the linear form of labor costs.
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Answered by isyllus | 2024-08-13