Directions:Write inequalities for the numbers 2 - 4 below. Do not solve them!
Problems:
2.Your quiz grades are 19, 17, 20, and 15. What is the lowest grade you can receive on the next quiz and maintain at least an 18 average?
3.Stacey and Luis volunteer at the local hospital. Stacey worked 4 more hours than Luis, and together they worked more than 28 hours. What is the least number of hours each worked?
4.Mrs. Culpepper has promised her two sons that they may go to a concert if together they save more than $45. The older son agrees to save twice as much as the younger one. How much must each save?
I will give you some help.
2. The average/mean is all the scores added together and divided by the number of scores.
(19 + 17 + 20 + 15 + X)/5 ≥ 18
Treating the inequality just like an equation, calculate X for the lowest score that can be obtained.
3. Let X = Lius' hours and X + 4 = Stacy's. Adding them gives you at least 28. Using the appropriate formula should give you the answer.
4. Let X = younger son's savings, which means that the older son saves 2X. As with the previous two problems, construct the formula and solve for X and 2X. Do you understand why I designated the savings as I did?
I hope this helps a little more. Thanks for asking.