Question

The equation 5x + 2y = 20 represent the cost for a family to attend a play where x is the number of adults and y is the number of children. Find the intercepts and interpret the meaning of each one

Answer 1

*5x + 2y = 20

where:

x = number of adults 
y = number of children

intercepts 'y'  ---> x=0
5x + 2y = 20
2y = 20 - 5x
y = 20/2 - 5/2x
y = 10 - 5/2x
y = 10 - 5/2(0)
y = 10

$I_{y}$ (0, 10)


this means that first there were 10 children

Intercep 'x' ----> y=0

5x + 2y = 20
5x = 20 - 2y
x = 20/5 - 2/5y
x = 4 - 2/5(0)
x = 4

$I_{x}$ (4,0)


this means that first there were 4 adults