A local ice cream shop has a special deal on Thursdays: Buy a waffle cone for $3 and get each scoop of ice cream for $1.50. What would be the rate of change in this word problem?
The rate of change in this word problem can be determined by calculating the slope of the line representing the relationship between the number of scoops of ice cream and the total cost.
To find the rate of change, we need to identify two points on the line and calculate the change in the dependent variable (total cost) for a given change in the independent variable (number of scoops).
Let's consider two situations:
1. When you buy 1 scoop of ice cream.
2. When you buy 2 scoops of ice cream.
When you buy 1 scoop of ice cream, the cost is $3 (waffle cone) plus $1.50 for the scoop, making a total of $4.50.
When you buy 2 scoops of ice cream, the cost is $3 (waffle cone) plus $1.50 for the first scoop, plus another $1.50 for the second scoop, making a total of $6.00.
Now, let's calculate the rate of change between these two situations:
Change in the number of scoops = 2 - 1 = 1
Change in the total cost = $6.00 - $4.50 = $1.50
So, for each additional scoop of ice cream, the total cost increases by $1.50.
Therefore, the rate of change in this word problem is $1.50 per scoop of ice cream.