Unit 2
Solve:
2x-3=5
x = 4
r= -0.65
negative moderate
Solve:
3x - 7 < 5
x < 4
the number of pages you read is a function of the amount of time you watch tiktok.
Define the independent and dependent variables
I- amount of time you watch tiktok
D- number of pages you read
Find average rate of change
(1997, 0.9) (2014, 3.4)
0.147
or 0.15
What is the y-intercept? what is the slope?
y= 4.5x-7
slope - 4.5
y-intercept - 7
Give an example of a strong positive correlation
show me
solve the expression for x
ax+bc = f
x= (f-bc)/ a
Function G gives the amount of gas, in gallons, that comes out of the hose m minutes after it has been turned on.
What does G(3) = 7 represent?
after 3 minutes, 7 gallons of gas has came out of the hose.
function or not
(1, 0)
(2, 0)
(3,0)
(4,0)
yes
Put this equation into slope intercept form:
4x + 6y = 12
y= 2/3x + 6
table:
bought milk did not buy milk
bought eggs 15 11
did not buy eggs 25 34
how many people took the survey?
85
Kevin says that a solution to the equation x + 5= 20 must also be a solution to the equation 4(x+5)= 20 Is he correct? Write an explanation for your reasoning.
no because x + 5= 20, x= 15
and 4(15+5) does not equal 20
Use function notation to represent the amount of gas 5 minutes after the hose has been turned on is less than the amount 15 minutes after it was turned on.
f(5) < f(15)
function or not
(2, 0)
(7, 1)
(5, 5)
(7, 3)
A video game rental store charges a $20 membership fee and $2.50 for each game rented.
x= number of games rented
y= 20 + 2.50x
table:
bought milk did not buy milk
bought eggs 15 11
did not buy eggs 25 34
How many people total bought milk?
40
Solve:5(-x+4)> 25
x < 1
Here are two functions:
k(x) = 4(3x-1) m(x)= 5x+3
which function is greater k(3) or m(3)
k(3)
y= | x +2 | - 7
left 2
down 7
The school that Claire goes to is selling tickets to their choir ensemble. The first day, the school sold 6 adult tickets and 3 children’s tickets for $50. The second day, the school sold 6 adult tickets and 4 children’s ticket for $55.
a) Write a system of equations that fits the situation. Use x for children’s tickets and y for adult tickets.
3x + 6y = 50
4x + 6y = 55
table:
bought milk did not buy milk
bought eggs 15 11
did not buy eggs 25 34
What proportion of people who took the survey, bought milk and eggs
15/85 or 3/17
Kyle started a lawn care business where he can mow or garden. He charges $20 per hour to mow lawns and $25 per hour for gardening. He wants to make at least $400 per week. Kyle is still in school, and he cannot work more than a total of 18 hours per week. Let x represent the number of hours he mows and let y represent the number of hours he gardens. Write a system of inequalities to represent the situation.
x + y <= 18
20x + 24y >= 400
Draw the situation
A full water tank is drained for 2 hours until it is half full. Then it is refilled.
show me
Find the average rate of change
( 2000, 2.7) (2003, 3.9)
0.4