Cost per ticket for the rides = $1.50.
a) Let us assume the number of ride tickets = x.
Total cost of x number of rides = y.
Total amount spent = $48.75.
Amount spent on 20 tickets = 20 × 1.50 = $30
Fair admission charge = Total amount spent - Amount spent on 20 tickets
= $48.75 - $30 = $18.75.
Let us apply slope-intercept form y=mx+b to get the equation.
Total cost of x number of tickets at the rate $1.50 each ticket = 1.50x.
Total cost of fair = Total cost of x number of tickets + Fair admission charge.