Hey! if you can.

trey needs to rent a car for one day. the rental company offers two plans. both plans involve paying a fixed amount and then paying an additional charge per mile driven. for each plan, the cost of driving the car, y dollars, is a function of the number of miles traveled. the graph shows the car rental cost for plan a. plan b offers a fixed payment of $30 plus 25¢ per mile.

a.
write an algebraic equation to represent the function for plan b.

b.
graph the linear function for plan b on the same coordinate plan as plan a.

c.
use a verbal description to compare the two functions. then describe a scenario that would benefit trey to rent the car using plan a. then describe a scenario that would benefit try using plan b.

d.
describe a situation where either rental plan results in the same total cost.

As the problem states, we have two plans: Plan A and Plan B. In this question, we will use Plan B to write an equation from the graph. We can write an equation having two points. Thus, from the graph, we know the two points:

Therefore, the equation of a straight line is:

For Plan B we know that it offers a fixed payment of $30 plus 25¢ per mile. We know that 1¢ is equivalent to $0,01, therefore 25¢ = $0,25. Therefore, we can write the plan as a fixed payment of $30 plus $0,25 per mile. This can be written using the following equation:

So the graph is shown below.

The line in red represents while the line in blue represents . Both Plans offer a fixed payment plus an extra fee per mile. If Trey runs less than 93,333 miles, he needs to rent Plan A because the cost here is less than Plan B. On the other hand, if he runs more than 93,333 miles, he needs to choose Plan B rather than Plan A because the cost of Plan B is less than the cost of Plan A here.

The same total cost occurs when both line intersect, that is, at the point . Hence if Trey runs exactly 93,333 miles, he'll need to pay 53,333$. Therefore, in this situation no matter what plan he chooses because he will pay the same amount of money.

you need to show the graph

step-by-step explanation:

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24