Q:

A kayak rental company charges $25.00 to rent a kayak and $3.50 for each half hour it is used.Which linear function best represents the total cost of renting a kayak for 4 hours?r (t) = 3.50t + 25r(4) = 39r (t) = 25t +3.5 R(8) = 203.5r(t) = 25t + 3.5 r(4) = 103.5r(t) = 3.50t +25r(8) = 53

Accepted Solution

A:
Answer:Option D (r(t) = 3.50t +25 ; r(8) = 53)Step-by-step explanation:The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used. 4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).r(8) = 25 + 3.5*(8) = 25 + 28 = 53.Therefore, Option D is the correct answer!!!