Playland park charges 7 dollars admission plus 75 crnts per ride. funland park charges 12.50$ admission plus 50 cents per ride. for what number of rides is the total cost the same at both parks?

22 rides

Step-by-step explanation:

Both the parks has a fixed cost (admission fee) and a variable cost (per ride cost). We can model 2 equations in "x" [let x be number of rides], equate them and find "x".

Playland Park:

Fixed Cost = 7

Variable Cost = 0.75x (in dollars)

Equation = 7 + 0.75x

Funland Park:

Fixed Cost = 12.50

Variable Cost = 0.50x (in dollars)

Equation = 12.50 + 0.50x

Now we equate and solve for x:

Hence,

the cost would be same for both parks for 22 rides

y=mx+b

step-by-step explanation:

m slope

b y-intercept

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.