Function Worksheet

**Page 5**

41.

Tom bought a belt for $1.50. Which graph shows the relationship between the number of belts and the total cost of them?

a. | Graph 2 | ||

b. | Graph 3 | ||

c. | Graph 4 | ||

d. | Graph 1 |

Cost of two belts = 2 × $1.50 = $3.

Cost of three belts = 3 × $1.50 = $4.50.

Cost of four belts = 4 × $1.50 = $6.

Cost of five belts = 5 × $1.50 = $7.50.

Among the graphs, Graph 3 represents the exact relation between the number of belts and the total cost of them.

Correct answer : (2)

42.

Max wanted to buy a toy that costs $2. Which graph shows the relationship between the number of toys and the total cost?

a. | Graph 3 | ||

b. | Graph 1 | ||

c. | Graph 4 | ||

d. | Graph 2 |

Cost of two toys = 2 × $2 = $4.

Cost of three toys = 3 × $2 = $6.

Cost of four toys = 4 × $2 = $8.

Similarly, the cost of 5, 6, 7 and 8 toys are $10, $12, $14, $16 respectively.

Among the graphs, Graph 1 represents the exact relation between the number of toys and the total cost of them.

Correct answer : (2)

43.

Which rule is used for $y$ in the ordered pairs on the graph?

a. | $x$ × 4 | ||

b. | $x$ × 3 | ||

c. | $x$ + 4 | ||

d. | 2$x$ × 4 |

Correct answer : (1)

44.

Charlie traveled 400 miles at 40 mhr and 200 miles at 20 mhr. How long did the trip take?

a. | 10 hours | ||

b. | 40 hours | ||

c. | 20 hours | ||

d. | 60 hours |

[Given]

Time taken to cover 400 miles at 40 mph =

He traveled 200 miles at 20 mph.

[Given]

Time taken to cover 200 miles at 20 mph =

Total time taken for the entire trip = 10 + 10 = 20 hours.

Correct answer : (3)

45.

A taxi company's fares are displayed in the table. How much would Sally pay if she travels 8.3 miles?

a. | $24.90 | ||

b. | $49.80 | ||

c. | $2.49 | ||

d. | $249.00 |

If Sally travels 8.3 miles, then 8.3 × $3 = $24.90.

S0, Sally would pay $24.90 if she travels 8.3 miles.

Correct answer : (1)

46.

The table shows the relationship between the rental charges of a car and the number of days hired.

If Mathew hires a car for 9 days, then how much amount will he need to pay?

Number of days | 1 | 2 | 4 | 6 |

Car rental charges | $45 | $90 | $180 | $270 |

If Mathew hires a car for 9 days, then how much amount will he need to pay?

a. | $225 | ||

b. | $405 | ||

c. | $255 | ||

d. | $425 |

So, the rule for the table is, rental charges = 45 ×

If Mathew hires the car for 9 days, then the amount he will pay = $45 × 9 = $405.

[Substitute

Correct answer : (2)

47.

Jim deposited $20 initially in his bank account. Then he deposited $15 every week. The total savings $c$ = 20 + 15$n$, $n$ represents the number of weeks he deposited money in the bank. Identify the table that best represents the equation.

a. | Table 2 | ||

b. | Table 4 | ||

c. | Table 1 | ||

d. | Table 3 |

[Original equation.]

[Substitute 0 for

= 20

[Simplify.]

[Substitute 1 for

= 35

[Simplify.]

[Substitute 2 for

[Simplify.]

[Substitute 3 for

[Simplify.]

[Substitute 4 for

= 80

[Simplify.]

[Substitute 5 for

= 95

[Simplify.]

The input and output values of table-1 matches with the results of the equation.

Table 1 satisfies the equation.

Correct answer : (3)

48.

A taxi company's fares are displayed in the table. How much would Sally pay if she travels 8.3 miles?

a. | $49.80 | ||

b. | $2.49 | ||

c. | $249.00 | ||

d. | $24.90 |

If Sally travels 8.3 miles, then 8.3 × $3 = $24.90.

S0, Sally would pay $24.90 if she travels 8.3 miles.

Correct answer : (4)

49.

Which of the following best describes the relationship between the hours and wages shown in the table?

Hours | 1 | 2 | 3 | 4 |

Wages ($) | 8 | 16 | 24 | 32 |

a. | wages × 8 = number of hours | ||

b. | wages + 8 = number of hours | ||

c. | wages = 8 × number of hours | ||

d. | wages = 8 + number of hours |

[From the table]

So, the rule that describes the relationship between wages and the number of hours is, wages = 8 × number of hours.

Correct answer : (3)

50.

The table represents the relationship between $x$ and $y$.

Which of these equations best represents the relationship?

$x$ | - 1 | 1 | 2 | 3 |

$y$ | 5 | 7 | 8 | 9 |

Which of these equations best represents the relationship?

a. | $y$ = $x$ + 6 | ||

b. | $y$ = - $x$ - 5 | ||

c. | $y$ = 2$x$ + 2 | ||

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

The values of

The values of

The values of

The values of

So, the equation

Correct answer : (1)