Question

the admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day $250 is collected. Write an equation in Standard Form that models the possible combination of admission tickets for children and adults. Find the x-intercept, the y-intercept and then graph the equation.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

children admission fee = $1.50

adults admission fee = $4.00

total money = $250

equation = ?

Step 02:

equation:

x = number of children

y = number of adults

1.50x + 4y = 250

Step 03:

x-intercept , y = 0

1.50x + 4y = 250

1.50x + 4(0) = 250

1.50x = 250

x = 250 / 1.50 = 166.67

Step 04:

y-intercept , x = 0

1.50x + 4y = 250

1.50 (0) + 4y = 250

4y = 250

y = 250 / 4 = 62.5

Step 05:

Graph

The answer is:

equation: 1.50x + 4y = 250

x-intercept: (166.67 , 0)

y-intercept: (0 , 62.5)