Functions Assessment 1

Function  $h$   gives the height of a squirrel from the ground after  $t$   seconds. Height is measured in feet. Here is a graph that represents  $h$  .
Select all statements in function notation that represents the situation.

•  $h\left(6\right)=h\left(8\right)$  

•  $h\left(1.5\right)=14$  

•  $h\left(2\right)<h\left(5\right)$  

•  $h\left(t\right)=2\ when\ t=5$  

•  $h\left(0\right)=9$  

The owner of a small restaurant bought 80 kilograms of rice. Each week, the restaurant uses 6.5 kilograms of rice. Function $r$  gives the remaining amount of rice, in kilograms, as a function of the number of weeks, $w$ , since the restaurant owner bought the rice.
How many kilograms of rice is left after 6 weeks?

• 119

• 41

• 486

• 39

The owner of a small restaurant bought 80 kilograms of rice. Each week, the restaurant uses 6.5 kilograms of rice. Function $r$ gives the remaining amount of rice, in kilograms, as a function of the number of weeks,  $w$  , since the restaurant owner bought the rice.
Which function represents the situation?

•  $r\left(w\right)=80+6.5w$  

•  $r\left(w\right)=6.5w$  

•  $r\left(w\right)=6.5w+80$  

•  $r\left(w\right)=80-6.5w$  

The owner of a small restaurant bought 80 kilograms of rice. Each week, the restaurant uses 6.5 kilograms of rice.Function $r$ gives the remaining amount of rice, in kilograms, as a function of the number of weeks,  $w$ , since the restaurant owner bought the rice. The solution for  $r\left(w\right)=15$  is  $w=10$  . Explain what the solution means in this situation.

• After 15 weeks of buying the rice, there are 10 kilograms of rice left

• After 10 weeks of buying the rice, there are 15 kilograms of rice left

• After 15 weeks of buying the rice, there are 15 kilograms of rice left

• After 10 weeks of buying the rice, there are 10 kilograms of rice left

The table shows the population of a city from 1900 to 2000. Find the average rate of population growth between 1900 and 1960. Round to the nearest hundredth.

(a)  

The average rate of population growth between 1920 and 1940 was 0.575 thousand people per year. If the population had continued to grow at this rate, in which year would it have reached 50 thousand?

• In 1948

• In 1949

• In 1950

• In 1951

The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove t minutes after the stove is turned on. After 30 minutes, the pot is taken off the stove. The graph of the function is shown.

Based on the graph and the situation, which domain and range make sense for function W?

• Domain: all numbers from 75 to 212. Range: all numbers from 0 to 30

• Domain: whole numbers only from 0 to 30. Range: whole numbers only from 75 to 212

• Domain: all numbers from 0 to 30. Range: all numbers from 75 to 212

• Domain: whole numbers only from 75 to 212. Range: whole numbers only from 0 to 30

Here is the graph of a function. Select the equation for the function represented by the graph.

• $y=\left|x\right|-5$

• $y=\left|x\right|+5$

• $y=\left|x-5\right|$

• $y=\left|x+5\right|$

The college student who is looking for a data plan for her cell phone found a third option, which also offers a 2 gigabyte monthly allowance for data. The monthly cost of this option can be represented by function C, defined by: C(x)=30x+5, where x is the gigabytes of data used over the monthly allowance.

In this situation, what would the inverse function give us?

• The monthly cost

• The cost per gigabyte

• The number of gigabytes of data used over the monthly allowance

The college student who is looking for a data plan for her cell phone found a third option, which also offers a 2 gigabyte monthly allowance for data. The monthly cost of this option can be represented by function C, defined by: C(x)=30x+5, where x is the gigabytes of data used over the monthly allowance. Find the inverse function.

• $C-5=30x$

• $\frac{C-5}{30}=x$

• $C-5=x$

• $\frac{1}{30}C-5=x$