Graph Linear Functions Worksheet

**Page 11**

101.

Mr. Chris requires $x$ gallons of milk for their family. The cost of $x$ gallons of milk is given by $f$($x$) = 1.19$x$. Which of the tables best suits the equation?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[Original equation.]

[Substitute 1 for

[Substitute 2 for

[Substitute 3 for

[Substitute 4 for

Table 3 matches with the equation.

Correct answer : (3)

102.

Find the slope and $y$-intercept of the function $f$($x$) = 9.1 + 0.25$x$.

a. | Slope = 9.35, $y$-intercept = 0.50 | ||

b. | Slope = 0.25, $y$-intercept = 9.1 | ||

c. | Slope = 9.1, $y$-intercept = 0.25 | ||

d. | Slope = 0.50, $y$-intercept = 9.35 |

[Original equation.]

[Standard equation.]

The slope of the function

[Compare with the standard equation.]

Correct answer : (2)

103.

If $f$($x$) = 0.95$x$ + 2.3, then find the value of $f$(2) and $f$(3).

a. | 5.20, 6.65 | ||

b. | 4.20, 5.15 | ||

c. | 3.70, 5.65 | ||

d. | 5.35, 7.30 |

[Original equation.]

[Substitute 2 for

= 4.20

[Simplify.]

[Substitute 3 for

= 5.15

[Simplify.]

So,

Correct answer : (2)

104.

Marissa and Jessica wanted to organize a farewell party for their seniors. They collected an amount of $800 from the class. The caterers charged $50 for each person. Which of the following functions shows the amount left with them?

a. | $f$($x$) = 850 + 800$x$ | ||

b. | $f$($x$) = 800 - 50$x$ | ||

c. | $f$($x$) = 850 - 800$x$ | ||

d. | None of the above |

The amount charged by caterers per person = $50.

The balance depends on the number of people who attended the party =

[Function rule.]

Correct answer : (2)

105.

Which of the input-output tables forms a linear function?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

In the first table

[Consider table2.]

The change in input (

Among the choices, table 2 forms a linear function.

[The ratio of the change in

Correct answer : (2)

106.

Find the linear function for the graph.

a. | $f$($x$) = ($\frac{-3}{2}$)$x$ + 10 | ||

b. | $f$($x$) = ($\frac{-3}{2}$)$x$ +12 | ||

c. | $f$($x$) = ($\frac{-3}{2}$)$x$ + 11 | ||

d. | None of the above |

Represent the data in the graph in a table, as shown below.

The change in input,

So, the slope of the function is

The point (0, 10) lies on the graph of the function. So, the

The function rule which governs the graph is

[Write the linear function as

Correct answer : (1)

107.

Fuel is being pumped into a tanker at a rate of 75 gallons per minute. The quantity of fuel in the tanker is a function of the number of minutes the fuel is pumped. Which of the following equations represents the quantity of fuel in the tanker?

a. | A = $\frac{75}{\mathrm{n}}$ | ||

b. | A= 75 - n | ||

c. | A= 75 + $n$ | ||

d. | A = 75$n$ |

Let

The amount of fuel in the tank,

So, the equation representing the amount of fuel in the tanker is

Correct answer : (4)

108.

A Painting exhibition is being organized in Milan. The painters who wish to exhibit and sell their paintings need to pay $100 for the space and $20 for each painting they sell. Which of the following equations best suits the function rule that represents the amount paid to the organizers as a function of number of paintings sold? Represent this as a function table showing input and output.

a. | $f$($x$) = 100 + 20$x$ | ||

b. | $f$($x$) = 100 + 30$x$ | ||

c. | $f$($x$) = 120 + 20$x$ | ||

d. | None of the above |

Amount to be paid for each painting = $20.

Input(

Output

Correct answer : (1)

109.

A fete is being organized in a school. Students need to pay $50 to put up a games stall and $2 on every ticket they sell for the game. How much should each stall owner pay? Express this as a function rule.

a. | f ($x$) = 50 - 2$x$ | ||

b. | f ($x$) = 50 - $x$ | ||

c. | f($x$) = 50 + 2$x$ | ||

d. | f ($x$) = 50 + $x$ |

[Input.]

Let

[Output.]

[Function rule.]

An input-output table is drawn, for the corresponding input values

Correct answer : (3)

110.

Which of the following function rules best suits the graph?

a. | $y$ = 4 + 2$x$ | ||

b. | $y$ = 6 - 2$x$ | ||

c. | $y$ = 7 + 3$x$ | ||

d. | $y$ = - 5 + 3$x$ |

Represent the data in the graph in a tabular form, as shown below.

The change in input (

The change in output (

The slope of the line is 3 and

[Slope of the line is

[Function rule.]

Correct answer : (4)