**Q5: **

Does vary directly with ? If so, what is the constant of variation?

2 | 4 | 6 | 8 | |

3 | 4 | 5 | 6 |

- A yes,
- B yes,
- C yes, 1
- Dno
- E yes,

**Q6: **

A recipe for 4 people requires 440 g of spaghetti. The quantity of spaghetti is proportional to the number of people. What is the corresponding constant of proportionality (unit rate)?

**Q7: **

The total cost for pizzas is proportional to the number of pizzas, as shown in the graph.

Find the unit rate.

- A15Β’ per pizza
- B$30 per pizza
- C30Β’ per pizza
- D$15 per pizza
- E$60 per pizza

**Q8: **

The amount of meat required to feed a captive lion is given by the equation , where is the weight of the meat in kilograms needed to feed a lion for days. What is the unit rate of this proportional relationship?

**Q9: **

Points on a line are given in the table. Does vary directly with ? Is so, what is the constant of variation?

3 | 6 | 9 | 12 | |

2 | 4 | 6 | 8 |

- A no
- B yes,
- C yes,

**Q10: **

A bodyβs weight on Earth is 120 kg and its weight on The Moon is 20 kg. Given that both weights are directly proportional to each other, find the bodyβs weight on The Moon when its weight on Earth is 126 kg.

**Q11: **

A website is selling e-books. It offers a discount of $0.50 for every referral you make. Is the amount of money saved by that offer directly proportional to the number of referrals you make?

- Ayes
- Bno

**Q12: **

Given that varies directly with , and when , write an equation for in terms of .

- A
- B
- C
- D
- E

**Q13: **

To attend a festival, Daniel needs a separate ticket for each day. He was given free tickets to attend the first three days, then paid $30 per ticket for each of the other days he attended. Was the amount of money he spent on tickets directly proportional to the number of tickets he had?

- Ano
- Byes

**Q14: **

Victoria was giving away coupons for a free appetizer at a local restaurant. She gave away 52 coupons an hour. Is the number of coupons she gave away proportional to the number of hours that she worked?

- A yes
- B no

**Q15: **

Determine whether the following statement is true or false: A directly proportional relationship can always be represented by a straight line graph passing through the origin.

- Atrue
- Bfalse

**Q16: **

Given that , which of the following is equal to ?

- A
- B
- C
- D

**Q17: **

Olivia uses cups of flour to make 20 cookies. She makes a second batch using cups of flour to make 30 cookies. Is the amount of flour she uses directly proportional to the number of cookies she bakes?

- Ayes
- Bno

**Q18: **

Given that varies directly as , write an equation for in terms of using as a non-zero constant.

- A
- B
- C
- D

**Q19: **

Which of the given graphs represents the direct variation between and ?

- A(c)
- B(a)
- C(d)
- D(b)

**Q20: **

The amount of caffeine in a cup of coffee is roughly 95 mg. What is the constant of proportionality, or unit rate, between the amount of caffeine ingested and the number of cups taken?