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Jerry has $15 to spend on ice cream for him and his friends. Each ice cream bar costs $2.50. Let x represent the number of ice cream bars he can buy. Let y represent the total cost. This relationship can be represented by the equation y = 2.50x. What is the domain and range?

User Surender
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Final answer:

The domain is the set of whole numbers from 0 to 6 inclusive, and the range is the set of values from $0 to $15 in increments of $2.50, which correspond to the possible number of ice cream bars Jerry can buy with $15 at the price of $2.50 each.

Step-by-step explanation:

Jerry has $15 to spend on ice cream, and each ice cream bar costs $2.50. Given that the relationship between the number of ice cream bars Jerry can buy (x) and the total cost (y) can be represented by the equation y = 2.50x, we want to determine the domain and range of this equation.

The domain consists of all possible values of x that Jerry can buy. Since Jerry cannot buy a negative or fractional number of ice cream bars, and he has $15, the maximum number of ice cream bars he can buy is $15 / $2.50 = 6. Therefore, the domain is all whole numbers from 0 to 6 (inclusive).

The range consists of all possible values of y that correspond to the domain. Since each ice cream bar costs $2.50, the minimum cost is $0 (if he buys no ice cream bars) and the maximum cost is $15 (if he buys 6 ice cream bars). Therefore, the range is all values from $0 to $15 in increments of $2.50 (the cost of one ice cream bar).

User Ram Idavalapati
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