Question 1

What does the value of the $y$-intercept represent?

Accepted Answer

the average number of customers at 7 p.m.

Answer

the average change in the number of customers during four hours of the dinner service

Answer

the average number of customers at 11 p.m.

Answer

the average change in the number of customers each hour

Question 2

The winning time for the men's $400$-meter race in each of the Olympic Games from $1976$ to $1996$ can be modeled by the equation $y=-0.054x+44.54$, where $x$ is the number of years after $1976$ and $y$ is the winning time in seconds. If the relationship continues, which equation could be used to predict the winning time in the year $2020$?

Accepted Answer

$y = -0.054(44) + 44.54$

Answer

$y = -0.054(1976) + 44.54$

Answer

$y = -0.054(24) + 44.54$

Answer

$y = -0.054(2020) + 44.54$

Question 3

A company performed power tests on a set of batteries of the same type. The company determined that the equation $y = 100 - 8.9x,$ where $x$ is the number of hours of use and $y$ is the percent of battery power remaining, models the battery life. Based on the equation, what is the BEST prediction of the percent of remaining power for a battery after $11$ hours of use?

Accepted Answer

$2.1\%$

Answer

$1.2\%$

Answer

$10\%$

Answer

$97.9\%$

Question 4

The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. Her data are shown in the scatter plot below.

If these data are modeled by the line $y = -5.9x+ 850,$ which statement BEST describes a valid prediction the owner could make?

Accepted Answer

On a day with a high temperature of $0^\circ	ext F,$ the shop can expect to sell about $850$ fluid ounces of hot coffee.

Answer

For each temperature decrease of $10^\circ	ext F,$ the shop can expect to sell about $6$ fluid ounces more hot coffee.

Answer

For each temperature increase of $10^\circ	ext F,$ the shop can expect to sell about $60$ fluid ounces more hot coffee.

Answer

On a day with a high temperature of $0^\circ	ext F,$ the shop can expect to sell about $145$ fluid ounces of hot coffee.

Question 5

The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit for the scatter plot can be described by the equation $y=\frac{4}{5}x$.
If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?

Accepted Answer

36

Answer

39

Answer

56

Answer

24

Question 6

In city $W$, the average cost for a gym membership is given by the equation $y = 3 4.99x + 49$, where $y$ is the total cost, in dollars, for $x$ months of membership. What is the meaning of the $y$-value when $x = 1$?

Accepted Answer

the average total cost for the first month of a gym membership

Answer

the average total cost for the first two months of a gym membership

Answer

the average sign-up fee for a gym membership

Answer

the average monthly charge for a gym membership

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