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The entrance fee for a theme park is $20. Tickets for each ride and attraction are $3 a piece. Which of the following equations describes the relation between the total cost (Y) and the number of tickets purchased (X) in a single visit to the park?
a. Y = 3+ 20X
b. Y = 60X
c. Y = 20 +3X
d. X = 20 +3Y
Answer: c. Y = 20 +3X

Answer :

The system of equation that describes the relation between the total cost (Y) and the number of tickets purchased (X) in a single visit to the park is Y = 3X + 20 i.e, option (C)

Define System of Equation

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given,

Cost of theme park is = $20

Tickets for each ride and attraction are = $3 a piece

Number of tickets purchased = X

So, total cost of tickets is = 3 * X

Total cost of visit to the theme park is = Y

So, the equation we get

Y = 3X + 20

Hence, the system of equation that describes the relation between the total cost (Y) and the number of tickets purchased (X) in a single visit to the park is Y = 3X + 20 i.e, option (C).

To read more about System of Equation.

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