What is the equation to this graph?
Your answer should be in slope-intercept form
y=3x-2
Determine the equation of the line with the specified slope that passes through the given point.
(3, –4)
m = 2
y-y1=m(x-x1)
y+4=2(x-3)
y+4=2x-6
y=2x-10
Does this mapping diagram depict y as a function of x? Yes or no AND why?
The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Write the equation of the line with the given slope and y-intercept.
slope = 5
y-intercept = 8
y = 5x+8
Which table is non-linear?
A
Which set of points are on the line?
A. {(0, 0), (1, 1), and (2, 2)}
B. {(1, 1), (1, 2), and (2, 3)}
C. {(0, 0), (-1, 1), and (1, 2)}
D. {(0, 0), (-1, 1), and (1, -1)}
D
The table shows the temperature of a greenhouse where the temperature was taken after x hours.
What is the y-intercept of this function and what does it represent?
50; the starting temperature of the greenhouse
A relation contains the points (3, 4), (2, -1), (8,4), and (-5,7).
Does this represent y as a function of x? Why?
The relation represents y as a function of x, because each value of x is associated with a single value of y.
Determine the equation of the line with the specified slope that passes through the given point.
(–3, –4)
m = 2
y-y1=m(x-x1)
y+4=2(x+3)
y+4=2x+6
y=2x-2
Write an equation for the line graphed.
y = 2/3x - 3
Draw the graph of the line depicted in this table
What is the linear equation of this table?
- y=x+3
- y=2x-7
- y=x-6
y=2x-7
Which function has a greater rate of change than the function represented in the table?
A
Determine the equation of the line with the specified slope that passes through the given point.
(3, –4)
m = 2
y-y1=m(x-x1)
y+4=2(x-3)
y+4=2x-6
y=2x-10
Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
x is squared
What is the domain of the graphed function?
x ≥ -2
The table shows the temperature of a greenhouse where the temperature was taken after x hours.
What is the rate of change (slope) of this function and what does it represent?
m= (y2-y1)/(x2-x1)
m = (60-50)/(5-0) --> 10/5 --> 2
2; an increase of 2 degrees of temperature for each hour that passes
The cost of a truck rental for a day is $45.00, plus an additional $0.25 for every mile driven.
Which function gives the cost of the daily truck rental?
A. f(x) = 0.25 + 45
B. f(x) = 0.25 + 45x
C. f(x) = 0.25x + 45
D. f(x) = 0.25x + 45x
C. f(x) = 0.25x + 45
Lauren is planning a catered dinner party for her parents' anniversary with a dinner budget of $288. She has selected two options: a chicken dinner that costs $9 per plate and a steak dinner that costs $12 per plate. Lauren is working on the guest list and must also determine how many of each meal to order.
Let x represent the number of chicken dinners and let y represent the number of steak dinners. Write an equation
288 = 9x + 12y
The cost of a truck rental for a day is $45.00, plus an additional $0.25 for every mile driven.
What is the cost of driving 100 miles?
f(x) = 0.25x + 45
f(100) = 0.25(100) + 45
= 25+45
= $70
Joaquin built a ramp for his little brother to use with toy cars. The relationship between the length of the ramp, x, and the height of the ramp, y, is shown in the graph.
Which statement correctly explains the meaning of the rate of change for this graph?
A. The ramp has a 1-inch change in height for every 5-inch change in length.
B. The ramp has a 1-inch change in height for every 3-inch change in length.
C. The ramp has a 3-inch change in height for every 1-inch change in length.
slope = rise/run
5/15 --> 1 in height /3 in length
c. The ramp has a 1-inch change in height for every 3-inch change in length.
HINT: PAY CLOSE ATTENTION TO IF THE VALUES IN THE TABLE ARE IN ORDER
What is the linear function of this table?
- y=x+3
- y=2x-7
- y=x-6
y = x-6
Amy is applying for a job in two companies. The given table shows the salary in dollars (y) that Company 1 is offering if she works x hours. Company 2 is offering $12.50 per hour plus a bonus of $80.
If she plans to work 40 hours each week, in which company will she earn more money in a week and by how much more?
She will earn $40 more in Company 1.
Roman has $40 to spend on snacks for his camping trip. He plans to buy protein bars that cost $3 each and individual bags of trail mix that cost $2 each.
If x represents the number of protein bars that Roman buys and y represents the number of individual bags of trail mix that Roman buys, then which equations represent this situation?
Choose 2:
A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She then makes a scatterplot of time studying and test grades.
What is the domain?
the number of minutes the students studied