Question

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. $c = 10 - 45d$ c. $c = 45 + 10d$ d. $c = 55d$ the perimeter of a rectangular garden is 60 feet. if the length of the garden is 5 feet longer than its width, which equation represents this situation? a. $2w + 2w + 5 = 60$ b. $2(w - 5) + 2w = 60$ c. $2w + 2(w - 5) = 60$ d. $2w + 2(w + 5) = 60$

Explanation:

Step1: Identify fixed and variable costs

Fixed cost = $45, variable cost = $10 per day. Total cost \( C = 45 + 10d \).

Step2: Relate length and width of rectangle

Let width = \( w \), length = \( w + 5 \). Perimeter formula: \( 2(\text{length} + \text{width}) = 2w + 2(w + 5) = 60 \).

Answer:

C. \( C = 45 + 10d \)
d. \( 2w + 2(w + 5) = 60 \)