MAT 117 ASU Determine the Average Rate of Change Algebra Questions

Objective 2MAT 117- Problem Set 2 – Little-Crow
Name☺__________________________
Directions: You may work together with other students through the problems posed to build a deeper understanding of
the content. You may provide your work and answers on this answer sheet. These questions will be helpful in preparing
for the Exam that contains the listed Objective. Please provide evidence of your thinking process and the mental steps
you took in arriving at the answer. You may also do your work on a blank sheet and submit that as a pdf.
1. In 2009 the number of vehicle sales in the United States was 10,602 thousand and in 2013 it was 15,884 thousand.
a. [3 pts] Determine the average rate of change (slope) from 2009 to 2013.
b. [3 pts] If 𝑥 is the number of years since 2009 and 𝑓(𝑥) is the number of vehicles sold, find the equation of the
line through these two points.
c. [2 pts] Assuming 𝑓(𝑥) is a linear function, use the equation to predict the number of vehicles sold in 2016.
2. The following graph shows the approximate number (in thousands) of people who immigrated to Ireland during the
period 2006-2010 ( 𝑡 is time in years since 2000).
a. [4 pts] Calculate the average rate of change (slope) of the number of people who immigrated to Ireland
between 2007 and 2008 with proper units.
b. [4 pts] Explain what the answer in (a) represents in the context of the problem.
Objective 2
MAT 117- Problem Set 2 – Little-Crow
Name☺__________________________
3. [4 pts] A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel
75 kilometers, the skater had gone 45 kilometers. Find the speed of the skater.
4.
[5 pts] Last year, Singh had $20,000 to invest. He invested some of it in an account that paid 7% simple interest per
year, and he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total
of $1280 in interest. How much did he invest in each account?