In math, constraints are limitations placed on a set of data. In this unit, we refer to them as numbers or sets of numbers that cannot happen within the situation.
For each situation below, discuss with a partner which constraints are present in the situation. Feel free to write and graph the inequality to assist you.
For each situation below, discuss with a partner which constraints are present in the situation. Feel free to write and graph the inequality to assist you.
Question 1 (One Equation):
You receive an $80 gift card to the bookstore. Hardback books cost $8 and paperback books cost $4. How many books of each type can you buy? |
Question 2 (Two Equations):
You can work at most 25 hours next week. You need to earn at least $85 to cover your gas and food expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour. Write a system of linear inequalities to model the situation and then solve. |
Question 3 (Two Equations):
Jenny is packing dishes into boxes. Each box can hold either 15 small plates or 8 large plates. She needs to pack at least 9 boxes and at least 150 plates. Write a system of linear inequalities to model the situation and then solve. |
Question 4 (One Equation):
Sam wants to purchase birthday gifts for his two sisters that share the same birthday. One sister likes daisies which cost $2 per stem and the other likes tulips which cost $3 per stem. If he has $12 to spend, how many of each could he buy? |