Part A

Jonathan works at a bookstore.

The amount of money he earns is directly proportional to the number of hours he works.
The graph shows the amount of money, w
dollars, he earns in t
hours.



Find the constant of proportionality.
dollars per hour.

How much money does Jonathan earn after working 3
hours?




Part B

Write a direct proportion equation that relates the money earned (y)
y
to the hours worked (t)
t

Use the discriminant to describe the roots of each equation. then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Based on the graph, what is the initial value of the linear relationship? a coordinate plane is shown. a line passes through the y-axis at -2 and the x-axis at 3.