Answer:
The correct option is;
1560 = 30(52) + b
Step-by-step explanation:
The cost of the first job = $1,200 in labor and expenses
The number of hours worked in the first job = 40
The second job costs $1,560 in labor and expenses
The number of hours worked in the second job = 52
If the cost of labor per hour = L and the expenses = b, we have;
$1,200 = 40×L + b......................(1)
$1,560 = 52×L + b.......................(2)
Subtracting equation (1) from (2), we have;
52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360
12×L = $360
L = $360/12 = $30/hour
From equation (1), we have;
$1,200 = 40×L + X = 40×$30 + b
Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;
1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b
