Question

A class is taking a field trip. The science center charges a flat fee for the entire class plus an additional amount per student to view a special exhibit. This graph represents y the total cost in dollars, for x students. Which function models the relationship between X and y?A.y= 50xB.y= 2x + 50С.y=50x + 2D.y=50-22

Answer 1

For this question, we just need to plug in one of the given points in the graph for each options. Since we both have x and y values, we can cancel out the option D.

Using the points (1,52), we will find which of the remaining functions fits the given graph.

A.

y = 50x

52 = 50(1)

52 = 50

Since 52 is not equal to 50, A is not the correct function. Let's proceed to letter B.

y = 2x + 50

52 = 2(1) + 50

52 = 52

Since we got an equal value for both sides, option B is the right answer. To check, we can use another point on the graph, (3,56)

y = 2x + 50

56 = 2(3) + 50

56 = 6 + 50

56 = 56

We are now sure that option B is the right answer.