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Gina is going to a concert at March Madness. She paid
$225.00 for the concert tickets. Drinks are
$11.00 each. Write an equation to represent the relationship between the number or purchased drinks,
x, to the total price,
y.

Gina is going to a concert at March Madness. She paid $\$ 225.00$ for the concert tickets. Drinks are $\$ 11.00$ each. Write an equation to represent the relationship between the number or purchased drinks, $x$ , to the total price, $y$ .

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Write a linear function: word problems

Full solution

Q. Gina is going to a concert at March Madness. She paid

\$ 225.00

for the concert tickets. Drinks are

\$ 11.00

each. Write an equation to represent the relationship between the number or purchased drinks,

x

, to the total price,

y

.

Identify Costs: Identify the fixed and variable costs. $\newline$ The fixed cost is the price of the concert tickets, which is $\$225.00$ . This is a one-time cost that does not change with the number of drinks purchased. $\newline$ The variable cost is the price per drink, which is $\$11.00$ . This cost increases with each additional drink purchased.
Write Total Price Equation: Write the equation that represents the total price. $\newline$ The total price is the sum of the fixed cost and the variable cost multiplied by the number of drinks. $\newline$ Total price = Fixed cost + (Price per drink $\times$ Number of drinks)
Substitute Given Values: Substitute the given values into the equation. $\newline$ Fixed cost (concert tickets): $\$225.00$ $\newline$ Price per drink: $\$11.00$ $\newline$ Number of drinks: $x$ $\newline$ Total price: $y$ $\newline$ Write the equation with the given values. $\newline$ $y = 225 + (11 \times x)$

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