Questions: A company charges 45 to rent equipment and an additional 10 per day. Write the equation for the total cost C for d days of rental. a. C=45d+10 b. C=55d c. C=10-45d d. C=45+10d

Solution Steps

To determine the correct equation for the total cost \( C \) for \( d \) days of rental, we need to consider both the fixed cost and the variable cost. The fixed cost is $45 for renting the equipment, and the variable cost is $10 per day. Therefore, the total cost \( C \) is the sum of the fixed cost and the product of the number of days \( d \) and the daily cost.

The total cost \( C \) for renting equipment consists of a fixed cost and a variable cost. The fixed cost is \( 45 \) dollars, and the variable cost is \( 10 \) dollars per day. Therefore, the equation for the total cost can be expressed as: \[ C = 45 + 10d \]

To find the total cost for renting the equipment for \( d = 1 \) day, we substitute \( d \) into the equation: \[ C = 45 + 10 \cdot 1 = 45 + 10 = 55 \]

Final Answer