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MAT 117- Problem Set 1 Directions: Complete the problems on the answer sheet provided

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MAT 117- Problem Set 1

Directions: Complete the problems on the answer sheet provided.

Show all work.

Submit your file as a single page PDF in Canvas.

1. Scientific Notation and Percent.

Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 2.9 x 10¹⁰ of her skin cells were burned then, how many skin cells were not burned? Use three significant figures in your answer (in other words, your answer will look something like 3.75 x 10⁸. The numbers on the left are significant figures. )

2. Solving for a variable in terms of other variables.

Starting with the equation A — P = Prt, solve this equation for P, which is the amount of principal (initial investment) needed to reach amount A in a simple interest savings account.

3. Simplifying

The amount of a certain population with limited resources is given by the equation P = k/1+cB^-t Solve this equation for the constant c. Write your answer so that there is no negative exponent.

4. Word Problem

Xavier and Yifei have been married for exactly 37 years. Yifei is four years older than Xavier. Now the sum of their ages is 124. Determine how old Yifei and Xavier were when they got married.

5. Word problem

The cost of cleaning up pollution in a stream is given by C(p) = 37000/100-p, where C is the cost in dollars to clean p percent of the stream. Find and interpret C(20).

MAT 117- Problem Set 2

Directions: Complete the problems on the answer sheet provided.

Show all work.

Submit your file as a single page PDF in Canvas.

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. Determine the average rate of change (slope) from 2009 to 2013.

b. 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. Assuming f(x) is a linear function, use the equation to predict the number of vehicles sold in 2016.

2. 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.

3. The bookstore at SunTan U had a sale on school t-shirts. Thursday they sold 45 of the marked down t-shirts for a total of $406.50. If the women’s shirts were on sale for $9.25 and the men’s shirts were on sale for $8.50, how many of each was sold on Thursday?

a. Write a system of equations that represents this information.

b. Solve the system to find the number women’s shirts and the number of men’s shirts that were sold on Thursday.