Determine the x-intercept for the following equation
4x+2y=20
4x=20-2(0)
4x=20-0
4x/4=20/4
x=5
100
Find the point of intersection:
y=2x+5 10-x+y=0
The point of intersection is
(-15,-25)
100
Research shows that there is a relationship between age and vocabulary size for young children prove that this it true using the table below
Age 1/2/2/3/3/4/4
Vocab 10/450/500/1000/1150/1400/1600
It shows that as the children get the older the more words they learn making their vocabulary size increase as the age grows older
100
Which of these ordered pairs are points on the graph of y=5x?
A) (0,10)
B) (4,15)
C) (-2,-10)
D) (7,21)
C (-2,-10)
100
What is Continuous data?
A set of data that can be broken down into smaller and smaller parts and still have meaning
200
The relation C=8.00+0.50T represents the cost of a pizza in dollars. T represents the number of toppings ordered. Using this info make an equation and find how much toppings are on a $10 order
The equation is C=8+.50t
Number of toppings for a 10 dollar order: 4
200
Party People is catering a party. Its services cost $25 per person with a minimum of 50 guests, but does not charge for the first 10 people. Find the equation using the given data
Y=25(x-10)
200
Find the slope of the following table.
NUMBER OF DAYS:1/2/3/4/5/6/7
SEATS MADE: 97/204/327/443/539/661/795
The slope of the table is 116
200
Joe has $50 in his bank account. He takes $2.50 out each week to buy a ice cream and freezie. Make an equation using the given information to find out how many weeks it will take him before he runs out of money.
It will take Joe 20 weeks of buying the ice cream and freezie in order to have no money left in his bank account.
200
What is a linear equation?
An equation in the form of ax+b=0
300
Determine the formula for h in terms of SA and r
Hint: SA=2x3.14xrxr+2x3.14xh
SA/2x3.14xr-r=h
300
Solve the equation.
2x+3=4(1-x)+5
x=1
300
A baseball is hit into the air. The table shows the height of the ball after each second. Using the table find out what effect does gravity have on the velocity and what is the max height of the ball
TIME:0/1/2/3/4/5/6/7
HEIGHT:1/26/41/46/41/26/1/0
Gravity has not effect on the baseball and the max height of the ball is 46m
300
Identify if this equation is a direct or partial variation.
y=-2/3x+1/6
The equation is partial
300
What is the point of intersection?
The point in common between two lines
400
Determine the equation for the following triangle diagram
(3x+10)
(2x-5) (x-5)
Since all triangles are 180 degrees the equation is
2x-5+3x+10+x-5=180
400
It takes Bryan 2h to mow the lawn and water the garden. It takes Francis 3h to do the same. How long would it take if they worked together?
Marco and Jamie have the same set of data. Both of them create a scatter plot and drew a line of best fit and compared when they finished. Will the outcomes be the same? If not WHY?
No, the results may be different because they may of used a different set of intervals for both axis's and may make a different line/curve or best fit.
400
Determine two more ordered pairs for the given relation.
rise is 2, run is 3 (2,5) lies on the line
The two ordered pairs are
(0,3.7)
(-11/2,0)
400
What is Inverse Operation?
Operations that undo or reverse (i.e. subtraction to addition)
500
Mark is three times as old as Horatio. Five years from now the sum of their two ages will be 46. Make an equation and then find out the current age of Horatio.
Using rise over run find the middle point
(-2,-1) (4,3)
2/3
500
Suppose you are studying the possible relationships between "Money" and "Days after Payday" Supposing he spends it each day find out which variable is independent and which one is dependent and then figure how the line of the best fit would look like on a graphy
IND- Number of days after Pay Day
DEP- Money
The line would start at the top of the y axis and fall to the right until it hit the x axis
500
Marie earns $1 for every 4 papers she delivers. Predict Marie's earnings for delivering 275 papers using an equation.
Y=0.25x
Y=0.25(275)
Y=$68.75
500
What is the line of best fit?
A line that best describes the relationship between two variables in a scatter plot