Question

A theater is tracking the number of adults and children in the audience at

various shows. The table shows how the number of adults and children
are related
Select the equation that matches the relationship.

X+y = 1000

X-y1000

y-x= 1000

Y= 1000xc

Adults

Children

500
500
450
550
400
600
350
650 I Need help i dont understand!!!!!!!!

Answer 1

The correct option is;

x + y = 1000

Explanation:

The data from the table can be presented as follows

Adults (x)
`{}` Children (y)

500
`{}` 500

450
`{}` 550

400
`{}` 600

350
`{}` 650

Therefore, we have the rate of change of the children, y to the adults, x, which is also the slope of the graph of the data given as follows;

The slope, m = dy/dx = (650 - 500)/(350 - 500) = 150/(-150) = -1

m = -1

The function of the graph in point and slope form, using the first point, becomes;

y - 500 = -1 × (x - 500) = -x + 500

∴ y - 500 = -x + 500

y + x = 500 + 500 = 1,000

Which gives

y + x = 1,000

y + x = x + y = 1,000