Unit 4 Mid Unit Study Guide

While Brian was at school, his house lost electrical power. By the time the electrical power came back on, the temperature inside the house was 86°F. The air conditioner immediately started to cool the house.Let f(x) represent the temperature, in degrees Fahrenheit, of Brian's house x minutes after the air conditioner started to cool the house.What is the meaning of the statement f(25)=78?

• After 78 minutes, the house was cooled to 25 degrees

• After 25 minutes, the house was cooled to 78 degrees

• After 78 minutes, the house was warmer than when Jayden got home

Ambar rode her bike for 30 minutes. She kept a record of her biking speed, in miles per hour (mph), for each 5-minute interval. The table shows the changes in the biking speed for different time intervals. Consider a graph in the xy-coordinate plane of Ambar's biking speeds as a function of time, in minutes. Assume that the increases and decreases in the running speed were constant. In which time interval is the graph of the function increasing? Select all that apply.

• 0 to 5 minutes

• 5 to 10 minutes

• 10 to 15 minutes

• 15 to 20 minutes

• 20 to 25 minutes

Ambar rode her bike for 30 minutes. She kept a record of her biking speed, in miles per hour (mph), for each 5-minute interval. The table shows the changes in the biking speed for different time intervals. Consider a graph in the xy-coordinate plane of Ambar's biking speeds as a function of time, in minutes. Assume that the increases and decreases in the running speed were constant. In which time interval is the graph of the function decreasing? Select all that apply.

• 5 to 10 minutes

• 10 to 15 minutes

• 15 to 20 minutes

• 20 to 25 minutes

• 25 to 30 minutes

Here are descriptions of four situations in which the volume of the water in a tank is a function of time. Match the description to a corresponding graph.

An empty 20-gallon water tank is filled at a constant rate for 3 minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Here are descriptions of four situations in which the volume of the water in a tank is a function of time. Match the description to a corresponding graph.

An empty 100-gallon water tank is filled in 50 minutes. Then, a dog jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The tank is refilled afterwards.

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Function f gives the temperature, in degrees Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement.            

The temperature at 12 p.m.

(no spaces)

Function f gives the temperature, in degrees Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement.            

The temperature was the same at 9 a.m. and at 4 p.m.

(no spaces)

Function f gives the temperature, in degrees Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement.            

It was warmer at 9 a.m. than at 6 a.m.

(no spaces)

Function f gives the temperature, in degrees Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement.            

Some time after midnight, the temperature was 24 degrees Celsius.

(no spaces)

Which is greater L(16) or S(16)?

• L(16)

• S(16)