Question

At a bagel shop, Eva bought 2 bagels for $1.20, Sally bought 10 bagels for $6.00, and Sam bought 1/2 dozen bagels for $3.60.

A) Use a graph to represent this situation.
B) Do the number of bagels and cost have a proportional relationship? Explain.
a) Yes
b) No
C) What does the point (1, 0.60) represent?
a) The cost of 1 bagel
b) The cost of 2 bagels
c) The cost of 10 bagels
d) The cost of 1/2 dozen bagels
D) What does the point (0, 0) represent?
a) No cost
b) The cost of 1 bagel
c) The cost of 2 bagels
d) The cost of 10 bagels

Answer 1

A) On the graph, each purchase is represented by a coordinate (x, y) where x is the number of bagels and y is the cost. B) The number of bagels and cost do not have a proportional relationship. C) The point (1, 0.60) represents the cost of 1 bagel. D) The point (0, 0) represents no cost.

Step-by-step explanation:

A) To represent this situation on a graph, we can use the number of bagels on the x-axis and the cost on the y-axis. Each data point will be represented by a coordinate (x, y), where x is the number of bagels and y is the cost. For example, Eva's purchase of 2 bagels for $1.20 can be represented by the point (2, 1.20).

B) The number of bagels and cost do not have a proportional relationship. A proportional relationship means that the ratio of the number of bagels to the cost remains constant. However, in this case, the ratio of bagels to cost varies. For Eva, the ratio is 2:1.20, for Sally it is 10:6.00, and for Sam it is 6:3.60, which are all different ratios.

C) The point (1, 0.60) represents the cost of 1 bagel. This can be determined by finding the y-coordinate of the point when x=1. In this case, the cost is $0.60.

D) The point (0, 0) represents no cost. This can be determined by finding the y-coordinate of the point when x=0. In this case, the cost is $0.