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Students are selling candy bars to raise money for a class trip. The number of candy bars sold b, and the...

Students are selling candy bars to raise money for a class trip. The number of candy bars sold b, and the amount of money raised c, in dollars, are shown in the table below.
b | c
5 | $6.50
8 | $10.40
Which equation represents the relationship between b and c?
A. c = 0.77b
B. c = 1.3b
C. c = 1.73b
D. c = 3.9b
The points on the graph below represent the costs of cashews in packages of different weights.
Which equation can be used to represent the cost of different-sized packages of cashews?
A. y = x + 15
B. y = 15x
C. y = 8x + 120
D. y = x + 28
3. What is the rate of change between the points (6, 45) and (9, 67.5)?
A. 7.5
B. 8
C. 32
D. 22.5
4. Sharmila recorded the number of pages she read every 5 minutes while reading a novel. Her data is shown in the table below.
Minutes | Pages Read
5 | 33
10 | 38
15 | 43
20 | 48
25 | 53
30 | 58
Which of the following best describes the rate at which Sharmila read the novel?

Answer

  1. To find the equation representing the relationship between b and c, calculate the rate of change (slope) using the given points (5, 6.50) and (8, 10.40). The slope is (10.40 - 6.50) / (8 - 5) = 3.90 / 3 = 1.3. Therefore, the correct equation is B. c = 1.3b.

  2. The graph shows a linear relationship between the weight of packages and their cost. The slope of the line is the cost per pound. From the graph, the cost increases by $15 for each additional pound. Therefore, the correct equation is B. y = 15x.

  3. The rate of change between the points (6, 45) and (9, 67.5) is calculated as (67.5 - 45) / (9 - 6) = 22.5 / 3 = 7.5. Therefore, the correct answer is A. 7.5.

  4. The rate at which Sharmila read the novel can be determined by finding the slope of the line that represents the data. The rate is (58 - 33) / (30 - 5) = 25 / 25 = 1 page per minute. Therefore, Sharmila read at a rate of 1 page per minute.

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