Question

Let f(x)= x³+6x²-10. Use appropriate division techniques to find the function value f(-4).

The Executive Inn rents a double room for $28 more per night than a single. One night the motel took in $13,072 by renting 31 doubles and 77 singles. What is the rental price for each type of room

Answer 1

1.

Let f(x)= x^3+6x^2-10. Use appropriate division techniques to find the function value f(-4)

f(-4) = (-4)^3+6(-4)^2-10 = 22

2.

The Executive Inn rents a double room for $28 more per night than a single. One night the motel took in $13,072 by renting 31 doubles and 77 singles. What is the rental price for each type of room

let the price of double room is x and of single room is y

x - y = 28...(1)

31x + 77y = 13072...(2)

multiply the first equation by 31 and subtract from (2)

77y+31y = 13072 - 28*31

y = 113

x = 113+28 = 141

so price for double room is $141 and of single room is $113