Mya and Kristal want to track the cost of ice cream at their local ice cream shop, Liv Loves Ice Cream, based on how many scoops they buy. As recurring customers, they pay a monthly fee of $2, whether or not they buy ice cream that month. Last month, Kristal paid $4 for 3 scoops of ice cream. Two months ago, Mya paid $7 for 4 scoops of ice cream.

What linear equation can be used to describe this relationship? (Hint: amount of scoops is your input)

The slope of 3 indicates that for every additional scoop, the cost increases by $3. The y-intercept of -5 represents the monthly fee of $2 that is paid regardless of the number of scoops purchased.

To find a linear equation that describes the relationship between the number of scoops of ice cream and the cost, we can use the given information from Kristal and Mya's purchases.
Let's start by examining Kristal's purchase. She paid $4 for 3 scoops of ice cream. We can express this relationship as a point on a graph, where the x-coordinate represents the number of scoops (input) and the y-coordinate represents the cost (output). The point (3, 4) represents Kristal's purchase.
Now, let's consider Mya's purchase from two months ago. She paid $7 for 4 scoops of ice cream. Again, we can express this as a point on the graph, where the point (4, 7) represents Mya's purchase.
To find the linear equation, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
To calculate the slope, we use the formula:
m = (change in y) / (change in x)
Using the points (3, 4) and (4, 7), we can calculate the slope as:
m = (7 - 4) / (4 - 3) = 3/1 = 3
Now that we have the slope, we can find the y-intercept by substituting one of the points into the equation and solving for b. Let's use the point (3, 4):
4 = 3(3) + b
4 = 9 + b
b = -5
Therefore, the linear equation that describes the relationship between the number of scoops and the cost is:
y = 3x - 5

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