To find the equation of the linear function that models the relationship between the number of hours Esperanza works (x) and the amount of money she earns (y), we can use the two points provided:
Point 1: (6, 120)
Point 2: (8, 156)
First, calculate the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (156 - 120) / (8 - 6)
m = 36 / 2
m = 18
Next, substitute one of the points into the slope-intercept form equation y = mx + b to solve for the y-intercept (b). Using Point 1 (6, 120):
120 = 18(6) + b
120 = 108 + b
b = 120 - 108
b = 12
Therefore, the linear function is:
y = 18x + 12
Yesterday, Esperanza worked for 6 hours and earned $120. Today, Esperanza worked 8 hours and earned $156. Write the equation of the linear function that models the relationship between the number of hours Esperanza works and the amount of money she earns. Enter your answer in y equals m x plus b form
1 answer
1 answer