A small bicycle-repair shop has the following details: - The cost to repair each bicycle is $10.00 - The fixed costs are $20.00 - The total expense function is given by E(q)=20+10q , where q is the number of bicycles repaired and E(q) is the total expense. Given the expense function E(q)=20+10q , which graph correctly represents the relationship between the number of bicycles repaired q and the total expenses E(q) ?
Answer
A
Image with description A line chart. The x-axis is labeled from 0 to 10 and the y-axis is labeled from 0 to 140. The y-axis is E(q). A line goes upward through points (0, 10), (3, 40), (5, 60), (7, 80), (9, 100), and (10, 110).
B
Image with description A line chart. The x-axis is labeled from 0 to 10 and the y-axis is labeled from 0 to 140. The y-axis is E(q). A line goes straight through from (0, 10) to (10, 10).
C
Image with description A line chart. The x-axis is labeled from 0 to 10 and the y-axis is labeled from 0 to 140. The y-axis is E(q). A line goes upward through points (0, 20), (2, 40), (4, 60), (6, 80), (8, 100), (10, 120).
D
Image with description A line chart. The x-axis is labeled from 0 to 10 and the y-axis is labeled from 0 to 140. The y-axis is E(q). A line goes upward through points (0, 20), (4, 80), (8, 140).
Explanation
The expense function is E(q) = 20 + 10q, so the graph starts at $20 when q = 0 and rises by $10 for each bicycle repaired. For example, E(2) = $40 and E(10) = $120. Choice C shows those values and the correct starting expense; choice D rises too steeply.
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