To find the equation of the linear function that models the relationship between the number of hours Esperanza works and the amount of money she earns, we need to find the slope (m) and the y-intercept (b) in the equation y=mx+b.
We can first find the slope (m) by calculating the change in y divided by the change in x:
m = (y2 - y1) / (x2 - x1)
m = ($156 - $120) / (8 hours - 6 hours)
m = $36 / 2 hours
m = $18 per hour
Next, we can plug in one of the points (6 hours, $120) into the equation y=mx+b to find the y-intercept (b):
120 = 18(6) + b
120 = 108 + b
b = 12
Therefore, the linear function that models the relationship between the number of hours Esperanza works and the amount of money she earns 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=mx+b form.(1 point)
1 answer