Question

60 minutes—60 questions
directions: solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document. do not linger over problems that take too much time. solve as many as you can; then return to the others in the time you have left for this test. you are permitted to use a calculator on this test. you may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator. note: unless otherwise stated, all of the following should be assumed. 1. illustrative figures are not necessarily drawn to scale. 2. geometric figures lie in a plane. 3. the word line indicates a straight line. 4. the word average indicates arithmetic mean.

1. a retail sales associates daily commission during 1 week was $20 on monday and tuesday and $60 on wednesday, thursday, and friday. what was the associates average daily commission for these 5 days? a. $40 b. $41 c. $44 d. $45 e. $46
2. in the figure below. c is on $overline{bd}$, $angle bac$ measures 35°, and $angle abc$ measures 95°. what is the measure of $angle acd$? f. 95° g. 125° h. 130° j. 140° k. 145°
3. wally buys dog collars online for $4 each. the shipping and handling fee is $5 total, regardless of the number of dog collars ordered. which of the following equations represents the relationship between x, the number of dog collars ordered, and y, wallys total bill in dollars? a. $y = \frac{x}{5}$ b. $y = 4x$ c. $y = 9x$ d. $y = 4x + 5$ e. $y = 5x+4$

Explanation:

Step1: Calculate total commission

The commission is $20$ for 2 days (Monday - Tuesday) and $60$ for 3 days (Wednesday - Friday). The total commission is $(20\times2)+(60\times3)=40 + 180=220$.

Step2: Calculate average commission

The average daily commission is the total commission divided by the number of days. There are 5 days in total. So the average is $\frac{220}{5}=44$.

Step1: Use exterior - angle property of a triangle

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In $\triangle ABC$, $\angle ACD$ is an exterior angle, and the two non - adjacent interior angles are $\angle BAC$ and $\angle ABC$.

Step2: Calculate $\angle ACD$

Given $\angle BAC = 35^{\circ}$ and $\angle ABC=95^{\circ}$, then $\angle ACD=\angle BAC+\angle ABC=35^{\circ}+95^{\circ}=130^{\circ}$.

Step1: Analyze cost components

The cost of each dog collar is $4$ dollars. If $x$ is the number of dog collars ordered, the cost of the dog collars alone is $4x$ dollars. The shipping and handling fee is a fixed $5$ dollars.

Step2: Form the total - bill equation

The total bill $y$ is the sum of the cost of the dog collars and the shipping and handling fee. So, $y = 4x+5$.

Answer:

C. $44$