David wants to rent a bicycle for a bicycle for a couple of hours to explore the city. the price of th bike rental. (p) depends on the time of the bike was out (t). the price consists of abase charge of $8 and a variable hourly cost.

Assuming that you want the price David has to pay to rent the bicycle.

P = 8 + ∑ xₐ

Where xₐ is the cost for the a'th hour where  tₐ is the a'th hour such that ∑ ta = t

where t is the time the bike was out.

Step-by-step explanation:

Here the total cost is the sum of the base price and the price for each hour.

The total time t is split into multiple hours ta such that ∑tₐ = t

Now because there is a variable hourly cost we can let the cost for the a'th hour be xₐ

Thus price for all hours is ∑xₐ

Therefore total price,

P = 8 + ∑xₐ

Note: Given the variable hourly rate we can get the actual price

if we assume the rate/hour (x) is fixed after the base price  then we can write P = 8 + x*t

Answers

Step-by-step explanation:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.

The hourly rate drops further to $1 per hour between the 6th and 10th hours.

The maximum price of the bike rental is $330.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )