What Is Y?
y=7x-3
What is y when x=11?
74
y=7x-3
What is x when y=39?
6
(3,2) and (-1,-6)
2
(3,2) and (-1,-6) and m=2
y=2x-4 or y-2=2(x-3)
The equation for the cost y of making x solar heaters is y=640x+1100.
What is the cost for making 75 solar heaters?
How many solar heaters were made if $13,900 was spent?
49,100 and 20
y-16=-2(x-1)
What is y when x=4?
10
y-16=-2(x-1)
What is x when y=8?
5
(4,-1) and (-2,3)
-2/3
(4,-1) and (-2,3) and m=-2/3
y=-2/3+5/3 or y+1=-2/3(x-4)
Political scientist James March came up with the following equation: y-70=2.5(x-60), where y represents the percent of the seats Republicans win if they win x% of the vote.
Predict the percent of Republican seats won if the Republicans get 50% of the vote.
Find the percent of the vote Republicans would need in order to get 60% of the seats in the House of Representatives.
45 and 56
y=1/2x+9
What is y when x=20?
19
y=1/2x+9
What is x when y=14?
10
(8,-1) and (4,3)
-1
(8,-1) and (4,3) and m=-1
y=-x+7 or y-3=-1(x-4)
There are 40 mice in a cage who are exposed to a disease-causing germ. There are 8 diseased mice 4 days after exposure and 14 diseased mice 6 days after exposure.
Let y be the number of diseased mice x days after exposure.
How long will it take before they are all infected?
y=3x-4 and ~15 days
y+5=3(x+6)
What is y when x=2?
19
y+5=3(x+6)
What is x when y=61?
16
(4,2) and (1,3)
-1/3
(4,2) and (1,3) and m=-1/3
y=-1/3x+10/3 or y-2=-1/3(x-4)
In 2011, 16.2 million people were employed (full-time or part-time) in the state of California. In 2016, the number grew to 18 million people.
Let y be the number of people (in millions) who were employed in California x years after 2011.
In which year will there be 21.24 million people employed in California?
y=.36+16.2 and 2025
For a line that passes through (5,-2) and (3,4)
Find the slope
Write the equation in any form
Find the y-coordinate when x=-1
-3
y=-3x+13
y-4=-3(x-3)
For a line that passes through (1,7) and (-1,6)
Find the slope
Write the equation in any form
Find the x-coordinate when y=10
1/2
y=1/2x+6.5 or y-7=1/2(x-1)
7
A cereal company finds that the number of people who will buy one of its products the first month it is introduced is linearly related to the amount of money it spends on advertising. If it spends $400,000 on advertising, 100,000 boxes of cereal will be sold. If it spends $600,000, 140,000 boxes will be sold.
Let y represent the number of cereal boxes sold when they spend x dollars on advertising. Find the slope
.2
A cereal company finds that the number of people who will buy one of its products the first month it is introduced is linearly related to the amount of money it spends on advertising. If it spends $400,000 on advertising, 100,000 boxes of cereal will be sold. If it spends $600,000, 140,000 boxes will be sold.
Let y represent the number of cereal boxes sold when they spend x dollars on advertising. Write the linear equation.
y=.2x+20000
As a thunderstorm approaches, you see lightning as it occurs, but you hear the accompanying sound of thunder a short time afterward. When the storm is 2 miles away, you hear the thunder 9.5 seconds after seeing the lightning. When the storm is 5 miles away, you hear the thunder 23.5 seconds after seeing the lightning.
Let y be the number of seconds between lightning and thunder when a storm is x miles away.
If a storm is 8 miles away, how many seconds would there be between lightning and thunder?
Estimate the distance of the storm if you hear the thunder 30 seconds after you see the lightning?
14/3
37.5
6.39