Mr. Miller says, Plan on a quarter pound of hamburger per person." There are 21 people in the class, including Mr. Miller and us." How much money should be collected for the cost of each burger in each student? if Hamburger Meat: $1.49 per pound ( limit: 5 pounds per customer. Additional of $1.79 per pound)

set up an equation, slope-intercept might help!

21 * (1/4) = 21/4 = 5 1/4 lbs.

5 * $1.49 = $7.45
1/4 * 1.79 = $0.45

7.45 + 0.45 = $7.90

7.90 / 21 = $0.376 = $0.38 per person

To calculate the total cost of hamburgers for each student, we need to find out the total weight of hamburger meat required and then multiply it by the cost per pound.

First, we need to determine the total weight of hamburger meat needed. Mr. Miller suggests planning for a quarter pound of hamburger per person. As there are 21 people in the class, including Mr. Miller and "us," we need to calculate the total weight of hamburger meat required by multiplying the number of people by the amount of hamburger per person.

Total weight of hamburger meat = Number of people * Hamburger per person
= 21 * 0.25 pounds

Therefore, the total weight of hamburger meat needed is 5.25 pounds.

Now let's calculate the cost of the hamburger meat. The price of hamburger meat is $1.49 per pound, but there is a limit of 5 pounds per customer. For any additional pounds beyond that limit, the price increases to $1.79 per pound.

To determine the cost, we need to consider two scenarios: if the total weight is less than or equal to 5 pounds and if it exceeds 5 pounds.

Scenario 1: Total weight is less than or equal to 5 pounds
In this case, the cost of hamburger meat is calculated by multiplying the total weight by the price per pound.
Cost = Total weight * Price per pound
= 5.25 * $1.49

Scenario 2: Total weight exceeds 5 pounds
For any additional pounds beyond 5, the cost per pound increases to $1.79. So we need to calculate the cost for the first 5 pounds and then add the cost for the remaining weight at the higher price.
Cost = (5 * $1.49) + (additional weight * $1.79)
= (5 * $1.49) + ((total weight - 5) * $1.79)

Now that you have the formulas for each scenario, you can plug in the values to calculate the cost.