A team of painters is hired to paint the exterior of a museum. The total cost, C, in dollars, incurred by the museum for h hours of painting is given by the equation C=290+155h. What is the best interpretation of 155 in the equation?Choose 1 answer:(A) The total cost can be at most $155.(B) It takes the team 155 hours to paint the exterior.(C) Each additional hour of painting the exterior costs $155.(D) $155 is the base cost regardless of how many hours it takes to paint the exterior.
Q. A team of painters is hired to paint the exterior of a museum. The total cost, C, in dollars, incurred by the museum for h hours of painting is given by the equation C=290+155h. What is the best interpretation of 155 in the equation?Choose 1 answer:(A) The total cost can be at most $155.(B) It takes the team 155 hours to paint the exterior.(C) Each additional hour of painting the exterior costs $155.(D) $155 is the base cost regardless of how many hours it takes to paint the exterior.
Analyze Equation Components: Analyze the given equation C=290+155h to understand the components of the cost.The equation represents the total cost (C) as a function of the number of hours (h) spent painting. The equation is in the form of a linear equationy=mx+b, where y is the total cost, m is the cost per hour, x is the number of hours, and b is the base cost.
Interpret Number 155: Identify the meaning of the number 155 in the context of the equation.In the equation C=290+155h, the number 155 is multiplied by the number of hours (h). This suggests that 155 represents the additional cost for each hour of painting.
Compare Interpretations: Compare the interpretations given in the options with the analysis of the equation.Option A suggests that the total cost can be at most $155, which is incorrect because 155 is multiplied by the number of hours, not a maximum value.Option B suggests it takes the team 155 hours to paint the exterior, which is incorrect because 155 is a rate, not a total time.Option C suggests that each additional hour of painting the exterior costs $155, which aligns with our analysis of the equation.Option D suggests that $155 is the base cost regardless of how many hours it takes to paint the exterior, which is incorrect because the base cost in the equation is 290, not 155.
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