Question

a venue for a dance recital can be rented for $275 per hour. the venue can be rented for either 1 hour, 2 hours, or 3 hours. the cost in dollars to rent the pool is a function of the number of hours the venue is rented. what are the domain and range of the function for this situation? a. domain: {275, 550, 825} range: {1, 2, 3} b. domain: {1, 2, 3} range: {275, 550, 825} c. domain: all positive real numbers range: all positive real numbers d. domain: all integers ≥ 0 range: all integers ≥ 0

Explanation:

Step1: Identify domain values

The domain is the set of possible rental hours: $\{1, 2, 3\}$

Step2: Calculate range values

Multiply each hour by the rate:
$1 \times 275 = 275$
$2 \times 275 = 550$
$3 \times 275 = 825$
Range: $\{275, 550, 825\}$

Answer:

B. Domain: {1, 2, 3}
Range: {275, 550, 825}