The graph shows the money collected at an amusement park from the sale of adult tickets.
Money Collected at
Amusement Park
Money Collected ($)
2,080
1,872
1,664
1,456
1,248
1,040
832
624
416
y
208
0
4
+x
8 12 16 20 24 28 32 36 40
Number of Adult Tickets
In the graph, y represents the money collected from the sale of adult tickets, and x represents the number of adult tickets sold.
Which equation describes the proportional relationship between the amount of money collected and the number of adult tickets
sold?
To find the equation for the proportional relationship between the amount of money collected and the number of adult tickets sold, we need to determine the constant of proportionality.
We can do this by finding the ratio of the amount of money collected to the number of adult tickets sold at any point on the graph. Let's take the point (8, 624) as an example.
Ratio = Money Collected / Number of Adult Tickets
Ratio = 624 / 8 = 78
Therefore, the constant of proportionality is 78.
Now we can write the equation for the proportional relationship:
Money Collected = Constant of Proportionality * Number of Adult Tickets
Substituting the constant of proportionality (78) into the equation, we get:
Money Collected = 78 * Number of Adult Tickets
So the equation that describes the proportional relationship between the amount of money collected and the number of adult tickets sold is:
y = 78x
your choices are,
y=208x
x=52y
y=52x
x=208y