An additional association wants to rent a cotton candy machine for a carnaval. there is a deposit to rent it plus an additional $8 per hour. the total cost to rent the machine for 5 hours is $115. assume the relationship is linear. find and interpret the rate of change and initial value"

The rate of change is $8. Since it is positive, the more the hours the higher the total cost.

The initial value is $75 which is the fixed cost.

Step-by-step explanation:

Let be the initial amount to be deposited to rent the cotton candy machine.

There is an additional cost of $8 per hour.

So for hours the total cost will be given by the linear function;

, where y is the total cost after x hours.

The total cost to rent the machine for 5 hours is $115.

This implies that;

We substitute these values into the equation to obtain;

Therefore the rate of change is $8.

Since the rate of change is positive, the more the hours the higher the total cost.

The initial value is $75.

This is the fixed amount to deposit even though you have not started using the machine

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

the answer is b