Math 1 22 Feb

Math 1

February 22, 2021

Example 1

To build the garden of your dreams you need 8 m³ of soil containing 85% silt. You have two types of soil you can combine to achieve this: soil with 40% silt and pure silt. How much of each soil should you use?

Example 2

A metallurgist needs to make 15 oz. of an alloy containing 74% copper. She is going to melt and combine one metal that is 35% copper with pure copper. How much of each should she use?

Example 3

Fruit salad which costs $5/kg is made by combining sliced peaches which cost $8/kg with sliced bananas which cost $4/kg. Find the number of kg of sliced peaches and sliced bananas required to make 16 kg of fruit salad.

Example 4

Write down the coordinate pairs of the two points you see in this image. Move on to the next slide to watch the video example of how to solve this problem.

Example 5

Write down the coordinate pairs of the two points you see in this image. Move on to the next slide to watch the video example of how to solve this problem.

Example 6

Working alone, Nicole can mop a

warehouse in four hours. Ashley can mop the same warehouse in eight hours. Find how long it would take them if they worked together. Round to the nearest tenth.

Example 7

It takes Scott six minutes to sweep a

porch. Kim can sweep the same porch in five minutes. Find how long it would take them if they worked together. Round to the nearest tenth.

Multiple Choice

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

The function  $C\left(m\right)=0.55m+3.75$  models the cost to take an m mile-long taxi ride from Quick Cabs. The table below shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile but has a lower fixed fee than Get You There Cabs.

Multiple Choice

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

Which is an equation of the line graphed below?

• $y=2.5x-2$

• $y=0.4x+5$

• $y=2.5x+5$

• $y=0.4x-2$

Fill in the Blanks

Fill in the Blanks

Multiple Choice

The table shows per capita consumption of bottles water for selected years, 1980-2005. Based on a line of best fit of the data, about how fast is the consumption of bottled water growing each year?

• 0.59 gallon per capita per year

• 0.86 gallon per capita per year

• 0.91 gallon per capita per year

• 1.09 gallon per capita per year

Multiple Choice

What is the system of inequalities displayed in the graph?

• $x-y\ge-8$
  $5x+y>2$
  

• $x-y\le-8$
  $5x+y>2$
  

• $x-y\le-8$
  $5x+y<2$
  

• $x-y\ge-8$
  $5x+y<2$
  

Multiple Choice

Which graph displays the following system of inequalities?

 $y>x+1$  
 $y<4x-2$