Question

The graph below shows a line of best fit for the relationship between the number of tickets that Brittany has and the number of rides she goes on at the state fair. Different rides require different amounts of tickets.

The line of best fit used to model the data is shown below.

y = -4.64x + 47.6

Which of the following statements is true for the above graph?

A.
The slope means that for every three tickets, Brittany goes on 14 rides.
B.
The y-intercept means that Brittany will run out of tickets after going on about 48 rides.
C.
The slope means that for every three rides, Brittany uses about 14 tickets.
D.
The y-intercept means that Brittany spent $48 on tickets.

Answer 1

Options C would be the correct answer

Answer 2

C.

The slope means that for every three rides, Brittany uses about 14 tickets.

Explanation:

The given line of best-fit is

y = -4.64x + 47.6

Y-intercept is the point where x is zero. For the given equation y-intercept will be 47.6 or 48 rounded to nearest dollar. In other words, y-intercept is also a point where the line cross the y-axis.

From the given graph we can see that the y-axis shows the number of tickets purchased. The point where the line cross y-axis is about 48.

This tells us that Brittany had 48 tickets when she did not take any ride.

In this case, the slope of the line tells us that how many tickets were used for one ride, as x represents the number of rides. For one ride 4.64 tickets were, for 2 rides 2 x 4.64 = 9.28 tickets were used, for 3 rides 13.92 or around 14 tickets were used.

Now if we look at the given options we can easily say the option C is the correct answer.

Option A is not correct as it gives the opposite information than the actual one. Option B is also wrong, as x-intercept will tell us after how many rides the tickets will expire. Option D is wrong as y-intercept gives the number of tickets not the amount of money.