the equation and graph show the distance traveled by a convertible and a limousine in miles, y, as a…

the equation and graph show the distance traveled by a convertible and a limousine in miles, y, as a function of time in hours, x. convertible: y = 35x compare the speeds of the two vehicles. the rate of change of the limousine is? the rate of change of the convertible. the convertible is? than the limousine.

the equation and graph show the distance traveled by a convertible and a limousine in miles, y, as a function of time in hours, x. convertible: y = 35x compare the speeds of the two vehicles. the rate of change of the limousine is? the rate of change of the convertible. the convertible is? than the limousine.

Answer

Explanation:

Step1: Find the rate of change of the limousine

The rate of change (slope) of a line passing through two points ((x_1,y_1)) and ((x_2,y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}). For the limousine, using the points ((0,0)) and ((3,90)), (m=\frac{90 - 0}{3 - 0}=30).

Step2: Compare the rates of change

The rate of change of the convertible is (35) (from (y = 35x)) and the rate of change of the limousine is (30).

Answer:

The rate of change of the limousine is (less) than the rate of change of the convertible. The convertible is (faster) than the limousine.