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C=290+155 h
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. 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.

A team of painters is hired to paint the exterior of a museum. The total cost, CC, in dollars, incurred by the museum for hh hours of painting is given by the equation C=290+155hC=290+155h. What is the best interpretation of 155155 in the equation?\newlineChoose 11 answer:\newline(A) The total cost can be at most $155\$155.\newline(B) It takes the team 155155 hours to paint the exterior.\newline(C) Each additional hour of painting the exterior costs $155\$155.\newline(D) $155\$155 is the base cost regardless of how many hours it takes to paint the exterior.

Full solution

Q. A team of painters is hired to paint the exterior of a museum. The total cost, CC, in dollars, incurred by the museum for hh hours of painting is given by the equation C=290+155hC=290+155h. What is the best interpretation of 155155 in the equation?\newlineChoose 11 answer:\newline(A) The total cost can be at most $155\$155.\newline(B) It takes the team 155155 hours to paint the exterior.\newline(C) Each additional hour of painting the exterior costs $155\$155.\newline(D) $155\$155 is the base cost regardless of how many hours it takes to paint the exterior.
  1. Analyze Equation Components: Analyze the given equation C=290+155hC = 290 + 155h to understand the components of the cost.\newlineThe equation represents the total cost (CC) as a function of the number of hours (hh) spent painting. The equation is in the form of a linear equation y=mx+by = mx + b, where yy is the total cost, mm is the cost per hour, xx is the number of hours, and bb is the base cost.
  2. Interpret Number 155155: Identify the meaning of the number 155155 in the context of the equation.\newlineIn the equation C=290+155hC = 290 + 155h, the number 155155 is multiplied by the number of hours (h)(h). This suggests that 155155 represents the additional cost for each hour of painting.
  3. Compare Interpretations: Compare the interpretations given in the options with the analysis of the equation.\newlineOption A suggests that the total cost can be at most $155\$155, which is incorrect because 155155 is multiplied by the number of hours, not a maximum value.\newlineOption B suggests it takes the team 155155 hours to paint the exterior, which is incorrect because 155155 is a rate, not a total time.\newlineOption C suggests that each additional hour of painting the exterior costs $155\$155, which aligns with our analysis of the equation.\newlineOption D suggests that $155\$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 290290, not 155155.

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