Question

Carter and his children went into a restaurant and will buy hotdogs and drinks. Each hotdog costs $3.50 and each drink costs $1.50. Carter has a total of $45 to spend on hotdogs and drinks. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of drinks purchased, d.

Answer 1

To represent the possible values for the number of hotdogs and drinks purchased, we can use the inequality 3.50hh + 1.50d <= 45.

Step-by-step explanation:

To represent the possible values for the number of hotdogs, hh, and the number of drinks, d, we can set up the following inequality: 3.50hh + 1.50d <= 45.

This inequality states that the total cost of hotdogs ($3.50 each) and drinks ($1.50 each) must be less than or equal to the total budget of $45.

For example, if we assume that Carter buys 10 hotdogs and 5 drinks, we can plug in these values into the inequality: 3.50(10) + 1.50(5) = 35 + 7.50 = 42.50, which is less than 45. Therefore, this combination is a possible solution.