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<span>Tan(x) = sin(x) / cos(x). Therefore, tan(x) pi/2 = 1/0, which doesn't exist. Imagine that, instead of 0, it's a number incredibly close to 0. The smaller the number in the denominator, the bigger the outcome. Therefore, we can think of 1/0 as infinity, or approaching infinity as one gets closer to 1/0. This is the same result approaching from the negative side, only it's negative infinity. If x=0, it's 0/1 instead (sin 0=0, cos 0=1). Anything divided by 1 is itself, so as x approaches 0, so does f(x).</span>
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
<em>Fair admission charge = Total amount spent - Amount spent on 20 tickets</em>
<em> = $48.75 - $30 = $18.75.</em>
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.
To<em>tal cost of fair = Total cost of x number of tickets + Fair admission charge.</em>
<h3>b) y = 1.50x + 18.75.</h3>