lons-graphs/ 2f8bb11595661c36:aplying-intercepts-and-slope/e/relating-linear-contexts-to-graph-features
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Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.
Let $y$ represent the area (in square meters) left to paint after $x$ hours.
Which of the following information about the graph of the relionship is given?
Choose 1 answer:
(A) Slope and $x$-intercept
(B) Slope and $y$-intercept
(C) Slope and a point that is not an intercept.
(D) $x$-intercept and $y$-intercept
(E) $y$-intercept and a point that is not an intercept
(F) Two points that are not intercepts
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Answer
\(\boxed{\text{The correct answer is (C) Slope and a point that is not an intercept.}}\)
Step 1 ：The problem states that Hiro painted his room at a rate of 8 square meters per hour. After 3 hours, he had 28 square meters left to paint. We can use this information to determine the slope and a point on the graph.
Step 2 ：The slope of the graph is the rate at which Hiro is painting, which is -8 square meters per hour. The negative sign indicates that the amount of area left to paint is decreasing over time.
Step 3 ：The point on the graph is given by the information that after 3 hours, Hiro had 28 square meters left to paint. This corresponds to the point (3, 28).
Step 4 ：Therefore, the information given about the graph of the relationship is the slope and a point that is not an intercept.
Step 5 ：\(\boxed{\text{The correct answer is (C) Slope and a point that is not an intercept.}}\)
