Question

​A helicopter company offers tours of the city. They charge $100 dollars initially, and then $50 for each additional person. The graph below shows the charges for a tour (T) based on the number of people (p).Write the equation of the line that relates the tour charges (T) to the number of people (p).

Answer 1

100 + 50p = t or t = 100 + 50p

Explanation:

We know that they charge 100 initially and then an addition 50 for each person.

We add 100 to 50 but we do not know the amount of people, which leaves it unknown (p)

The total cost (t) is also unknown which stays unknown until we calculate the amount of people.

Answer 2

The equation that expresses the relation between the tour charges (T) and the number of people (p) for the helicopter tour is T = 100 + 50p. This includes a $100 initial fee and an additional $50 for each person.

Understanding the Linear Relationship between Tour Charges and Number of People.

Based on the information provided, the helicopter company charges a fixed initial fee plus an additional fee per person.

Since the initial fee is given to be $100, which is a flat rate regardless of the number of people, and the additional charge is $50 per person, the total charge T for p people can be described by the linear equation:

T = 100 + 50p

In this equation, 100 represents the initial fee, and 50 is the rate at which the cost increases for each additional person. The variable p stands for the number of people, and T is the total charge for the tour.

The graph is given below: