High School

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Activity 1.5: Rate, Ratio, and Proportion

1. Samantha is making a telephone call to her friend Adila, who lives in Kenya. The call costs R3.20 per 30 seconds. Samantha speaks to Adila for 24 minutes.

a) What will the call cost?

b) What would Samantha pay if she made this call every month for two years?

2. A restaurant employs five people. The two cooks work 36 hours each per week for R36 an hour, and the three waiters work 30 hours each per week for R28 an hour. What does the restaurant pay its five employees in total per week?

3. Bonolo ran a 10 km race. Her average speed was 6 km per hour. How long did it take her in minutes to complete the race?

4. Lucas earns R875.00 in five working days.

a) How much would he earn in 12 working days, at the same rate?

b) How many days must he work to earn R3,500.00?

c) Are Lucas's total earnings in direct or indirect proportion to the number of days worked? Justify your answer.

Answer :

Final answer:

The cost of the telephone call is R153.60. If Samantha made this call every month for two years, she would pay R3686.40.

Explanation:

To find the cost of the telephone call, we need to calculate how many 30-second intervals are there in 24 minutes.

24 minutes = 24 minutes * 60 seconds/minute = 1440 seconds

Cost of one 30-second interval = R3.20

Number of 30-second intervals in 1440 seconds = 1440 seconds / 30 seconds = 48 intervals

Cost of the call = R3.20 * 48 = R153.60

To calculate how much Samantha would pay if she made this call every month for two years, we need to find the number of calls she would make in two years and multiply that by the cost of one call.

Number of calls in two years = 12 months/year * 2 years * 1 call/month = 24 calls

Cost of 24 calls = R153.60/call * 24 calls = R3686.40

Therefore, the call will cost R153.60 and Samantha would pay R3686.40 if she made this call every month for two years.

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Rewritten by : Barada