An Ice Cream Parlor offers different scoops of ice cream cones for different prices. A single scoop cone costs [tex]$1.35[/tex], a double scoop cone costs [tex]$1.80[/tex], and a triple scoop cone costs [tex]$2.25[/tex]. Write a linear equation that models the price of the ice cream.

Blank 1: [Add your answer here]

Sure! Let's solve the problem step by step.

To write a linear equation that models the price of an ice cream cone, we need to consider the prices of different types of scoops offered by the parlor.

1. Single Scoop Cost: [tex]$1.35
2. Double Scoop Cost: $[/tex]1.80
3. Triple Scoop Cost: $2.25

Now, let's say:
- [tex]$ x $[/tex] represents the number of single scoop cones you buy.
- [tex]$ y $[/tex] represents the number of double scoop cones you buy.
- [tex]$ z $[/tex] represents the number of triple scoop cones you buy.

To find the total cost for a given number of each type of scoop cone, you can use the following linear equation:

[tex]\[ \text{Total Price} = 1.35x + 1.80y + 2.25z \][/tex]

In this equation:
- Each [tex]$ x $[/tex] is multiplied by 1.35, representing the price per single scoop.
- Each [tex]$ y $[/tex] is multiplied by 1.80, representing the price per double scoop.
- Each [tex]$ z $[/tex] is multiplied by 2.25, representing the price per triple scoop.

This equation helps you calculate the total cost of the cones based on how many of each type you choose to purchase.