Question

Leigh is making a reservation for the venue (location) of her wedding. The venue charges a $150 reservation fee and then will charge $50 per hour, for a maximum of 8 hours. What is the maximum domain and maximum range of this function?

A) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8}
Range: {150, 200, 250, 300, 350, 400, 450, 500}

B) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8}
Range: {150, 200, 250, 300, 350, 400, 450, 500, 550}

C) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8}
Range: {150, 200, 250, 300, 350, 400, 450, 500, 550, 600}

D) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8}
Range: {150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650}

Answer 1

The maximum domain of the function is 8 and the maximum range is {150, 200, 250, 300, 350, 400, 450, 500}.

Step-by-step explanation:

The function in this question represents the total cost of the wedding venue reservation based on the number of hours booked. The reservation fee of $150 is added to the product of the hourly rate of $50 and the number of hours booked, which is capped at 8 hours.

The maximum domain of this function is 8 because that is the maximum number of hours allowed for the reservation. The range of the function represents the total cost of the reservation, starting from the base fee of $150 and increasing by $50 for each additional hour. Therefore, the maximum range of this function is {150, 200, 250, 300, 350, 400, 450, 500}.