Question

Use the image to answer the question.

A line graph shows number of items on the x-axis and cost in dollars on the y-axis. The graph shows the trends for A, B, C, and D. The x-axis ranges from 0 to 7 in increments of 1. The y-axis ranges from 0 to 35 in increments of 5. A line starts at the origin and passes through the plotted point A at left parenthesis 1 comma 25 right parenthesis. A line starts at the origin and passes through plotted point B at left parenthesis 2 comma 30 right parenthesis. A line starts at the origin and passes through plotted point C at left parenthesis 2 comma 20 right parenthesis. A line starts at the origin and passes through plotted point D at left parenthesis 4 comma 20 right parenthesis.

Talia noticed a sale at her favorite store. The points on the graph show how many items she bought of each. T-shirts were selling for $5
each, long sleeve shirts were $10
each, jeans were discounted to $15
each, and sweaters were on sale for $25
each. Name the point corresponding to the number of pairs of jeans Talia purchased.

(1 point)
Responses

B
B

C
C

D
D

A
A
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1 answer

To identify the point corresponding to the number of pairs of jeans Talia purchased, we need to examine the costs associated with jeans. The information states that jeans were priced at $15 each.

In the graph you described:

  • Point A (1, 25)
  • Point B (2, 30)
  • Point C (2, 20)
  • Point D (4, 20)

To find out which point corresponds to jeans costing $15, we can analyze the y-coordinates of the points based on the number of items bought (x-coordinates):

  • For point A, with 1 item bought (1 pair), the cost is $25.
  • For point B (2 items), the cost is $30.
  • For point C (2 items), the cost is $20.
  • For point D (4 items), the cost is $20.

Since jeans are sold for $15 each, we can calculate the corresponding x-coordinate for the total cost of buying jeans:

The total cost of 1 pair of jeans = $15 The total cost of 2 pairs of jeans = $30 The total cost of 3 pairs of jeans = $45 (not given in the graph) The total cost of 4 pairs of jeans = $60 (not given in the graph) The total cost of 5 pairs of jeans = $75 (not given in the graph) The total cost of 0 pairs of jeans = $0

The point that matches Talia's potential purchase of jeans (at $15 each) is point B, which corresponds to her purchasing 2 pairs of jeans for $30.

Thus, the answer is: B.