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An ice cream stand uses the expression 
2+0.5 x to determine the cost (in dollars) of an ice cream cone that has 
x scoops of ice cream.

An ice cream stand uses the expression 2+0.5x 2+0.5 x to determine the cost (in dollars) of an ice cream cone that has x x scoops of ice cream.

Full solution

Q. An ice cream stand uses the expression 2+0.5x 2+0.5 x to determine the cost (in dollars) of an ice cream cone that has x x scoops of ice cream.
  1. Determine Cost Expression: To determine the cost of an ice cream cone with xx scoops, we need to use the given expression 2+0.5x2 + 0.5x. This expression indicates that there is a base cost of 22 dollars and an additional cost of 0.50.5 dollars for each scoop of ice cream.
  2. Calculate Total Cost: Let's calculate the cost for a specific number of scoops, say xx scoops. We plug xx into the expression to get the total cost.\newlineCost = 2+0.5x2 + 0.5x
  3. Verify with Example: To ensure we understand the expression correctly, let's check with a simple example. If x=1x = 1 (11 scoop of ice cream), the cost would be:\newlineCost = 2+0.5(1)=2+0.5=2.52 + 0.5(1) = 2 + 0.5 = 2.5 dollars.\newlineThis seems correct as it follows the given expression.
  4. Final Cost Calculation: Now, we can say that for any number of scoops xx, the cost of the ice cream cone will be calculated using the expression 2+0.5x2 + 0.5x. This is a linear expression and does not require any further simplification.

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