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

D
D

B
B

C
C

A
A
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1 answer

To determine the point corresponding to the number of pairs of jeans Talia purchased, we need to find the point that aligns with the cost of jeans on the graph.

Given that jeans are discounted to $15 each, we can identify the point where the cost on the y-axis equals $15.

Looking at the points provided:

  • Point A corresponds to (1, 25) which suggests 1 item costing $25.
  • Point B corresponds to (2, 30) which suggests 2 items costing $30.
  • Point C corresponds to (2, 20) which suggests 2 items costing $20.
  • Point D corresponds to (4, 20) which suggests 4 items costing $20.

Since none of the points listed explicitly indicate a total cost of $15, we need to determine how many pairs of jeans she would need to purchase for that cost:

1 pair of jeans costs $15, so the corresponding point for jeans is (1, 15).

Since 1 pair of jeans costing $15 does not match any of the specifically listed points, we may infer that the question is asking for the next logical conclusion.

Given these considerations, the closest logical deduction would lead us to focus back on the options. Since the point representing jeans at $15 specifically is not present in the answer options (A, B, C, or D), it appears a conclusion suggests the answer is not explicitly listed.

However, if we interpret the question strictly by cost and find approximations within the range of items/pairs that might have been bought, we could view point C (2, 20) as a potential second item being sold. Having bought jeans along with other items that could have been items that bring the average down.

Confirming theoretical points would be needed to definitively state:

Thus, from the given responses and point choices, if forced to select among the provided points based on context,

The correct response pertaining closely to potential jeans interaction would be: C