Math  /  Algebra

QuestionSolve each problem. 1) At a camival it costs $91.59\$ 91.59 for 71 tickets. Write an equation that can be used to express the relationship between the total cost (t)(t) and the number of tickets( nn ) you buy.

Studdy Solution

STEP 1

What is this asking? We need to find a formula that tells us the total cost based on the number of tickets we buy. Watch out! Make sure your formula works for the given example!

STEP 2

1. Find the cost per ticket.
2. Write the equation.

STEP 3

Alright, let's **dive in**!
We know that 71 tickets cost $91.59\$91.59.
To find the cost of one ticket, we need to **divide** the total cost by the number of tickets.
This is because the total cost is made up of the cost of each ticket multiplied by the number of tickets.
So, to find the cost of one ticket, we **reverse** the multiplication by dividing!
It's like figuring out how much each slice of pizza costs if you know the price of the whole pie!

STEP 4

Let's **calculate** the cost per ticket: $91.5971 tickets=$1.29/ticket \frac{\$91.59}{71 \text{ tickets}} = \$1.29/\text{ticket} So, each ticket costs $1.29\$1.29!

STEP 5

Now that we know the cost per ticket, we can **write an equation** to express the relationship between the total cost (tt) and the number of tickets (nn).
Since each ticket costs $1.29\$1.29, we can **multiply** the number of tickets (nn) by the cost per ticket ($1.29\$1.29) to get the total cost (tt).
This is like saying, if each apple costs $0.50\$0.50 and you buy 3 apples, the total cost is $0.503=$1.50\$0.50 \cdot 3 = \$1.50.

STEP 6

Therefore, our **equation** is: t=$1.29n t = \$1.29 \cdot n This equation tells us that the total cost (tt) is equal to the cost per ticket ($1.29\$1.29) **multiplied** by the number of tickets (nn).

STEP 7

The equation that expresses the relationship between the total cost (tt) and the number of tickets (nn) is: t=$1.29n t = \$1.29 \cdot n

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