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.

Question

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.

Bytelearn · Accepted Answer

Equation Structure: The equation C = 290 + 155h represents the total cost C for h hours of painting. To interpret the number 155 in the equation, we need to understand the structure of the equation. The equation is in the form of a linear equation y = mx + b, where m represents the slope or the rate of change, and b represents the y-intercept or the starting value. In this context, 155 is the coefficient of h, which represents the variable number of hours.Interpretation of 155: Since 155 is multiplied by the number of hours h, it represents the rate at which the cost increases with each additional hour of painting. This means that for every hour of painting, the cost increases by $155. This is not a fixed cost, but a variable cost that depends on the number of hours worked.Options Evaluation: Now, let's evaluate the options given to determine which one correctly interprets the number 155 in the equation: (A) The total cost can be at most $155. - This is incorrect because the equation shows that 155 is multiplied by the number of hours, not a maximum cost. (B) It takes the team 155 hours to paint the exterior. - This is incorrect because the equation does not provide information about the total time required to complete the job. (C) Each additional hour of painting the exterior costs $155. - This is correct because 155 is the rate at which the cost increases per hour. (D) $155 is the base cost regardless of how many hours it takes to paint the exterior. - This is incorrect because the base cost is represented by the constant term in the equation, which is 290, not 155.

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