Math 1 Feb 11

Math 1

February 11, 2021

Example 1

 $y\ge2x+3$  
 $y\ge\frac{2}{3}x-1$  

Example 2

 $y\le-3$  
 $2x+y\ge-1$  

Example 3

 $3x+2y\le-2$  
 $x+2y\le2$  

Example 4

 $5x-3y\ge6$  
 $5x-3y\ge9$  

Multiple Choice

What is the system of equations in the graph?

• $3x-y>-2$
  $2x+y\ge-3$
  

• $3x+y>-2$
  $2x-y\ge-3$
  

• $2x-y\le-3$
  $3x+y<-2$
  

• $3x-y<-2$
  $2x+y\le-3$
  

Example 5

Amy asked you to make 15 L of fruit punch that contains 72% fruit juice by mixing together some Sweet Tropical Fruit Punch and some grape juice. How much of each ingredient do you need if the Sweet Tropical Fruit Punch contains 58% juice?

Example 6

Carlos wants to make 14 L of a 70% sugar solution by mixing together a 90% sugar solution and a 20% sugar solution. How much of each solution must he use?

Example 7

Stefan wants to make 20 L of a 76% acid solution by mixing together a 90% acid solution and a 55% acid solution. How much of each solution must he use?

Example 8

Dan asked you to make 15 L of fruit punch that contains 16% fruit juice by mixing together some amount of Brand A fruit punch and some amount of Brand B fruit punch. Brand A contains 12% fruit juice and Brand B contains 18% fruit juice. How much of each do you need?

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Stephanie buys a box of 50 candy bars for $10.00. She sells each candy bar for $1.50. Ashley buys a box of 50 candy bars for $15. She sells each candy bar for $2.00. Which system of equations can be used to determine when Stephanie and Ashley will have the same profit, y, after selling x candy bars?

• $y=1.50x-10$
  $y=2x-15$
  

• $y=10x+1.50$
  $y=15x+2$
  

• $y=1.50x+10$
  $y=2x+15$
  

• $y=10x-1.50$
  $y=15x-2$
  

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

The table shows the number of miles traveled and the corresponding costs for a certain delivery truck. Which statement best describes the slope of the best-fit linear model?

• The total increases by approximately $1.75 for every mile traveled.

• The total cost increases by approximately $2.76 for every mile traveled.

• The total cost increases by approximately $1.18 for every mile traveled.

• The total cost increases by approximately $3.20 for every mile traveled.