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Question 9 The table below shows the cost to go on different numbers of rides at a local carnival. Which equation calculates the cost to go on x number of rides?

Question 9 The Table Below Shows The Cost To Go On Different Numbers Of Rides At A Local Carnival Which Equation Calculates The Cost To Go On X Number Of Rides class=

Sagot :

The table shows a different number of rides along with the cost.

Each number of rides has a different cost. Therefore, it is a linear function that can be written as y = mx + b

Here, b is the y-intercept or the point at which the line crosses the y-axis. It lies on x = 0. For 0 rides, the cost would also be zero. Therefore, b = 0.

Also, m is the slope that is the difference of y values over the x values. Therefore, it is calculated using

m = (y2 - y1) / (x2 - 1)

To find that, we need to take two points from the graph. Let's pick the first two points:

(2, 3)

(5, 7.5)

Just put the values in the slope equation

m = (7.5 - 3) / (5 - 2)

m = 4.5/ 3

m = 1.5

Now, put the values of m and b in the standard equation.

y = mx + b

y = 1.5x + 0

y = 1.5x

Therefore, y = 1.5x calculates the cost to go on x number of rides.

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