The table below shows how old Marsha and Tony were in several different years. If
T represents Tony's age and M represents Marsha's age, which equation could be
used to correctly predict Tony's age when Marsha is 20 years old?
A. T = 20 − M
B. T = M + 4
C. T + M = 4
D. T + 16 = 20M
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
A bungee jumper tried many jumps off of a bridge with different lengths of bungee
cord. The distance he fell before the cord pulled tight is shown in the graph below.
When the points on the graph are connected to form a straight line, what does the
slope of this line represent?
A. The slope is , which means
that for every 1 foot of cord, he
will fall 5 feet.
B. The slope is , which means
that for every 5 feet of cord, he
will fall 1 foot.
C. The slope is , or 5, which
means that for every 1 foot of
cord, he will fall 5 feet.
D. The slope is , or 5, which
means that for every 5 feet of
cord, he will fall 1 foot.
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
The table shows the number of hours Tim and Stephen have practiced their piano
lessons at the end of each week. Let T represent the number of hours Tim
practices and let S represent the number of hours Stephen practices.
If they both continue to practice at the same rate, which equation could be used to
correctly predict the number of hours Stephen will have practiced his piano lessons
when Tim has practiced for 11 hours?
A. S = 29
B. S = 3T + 2
C. S = 2T + 9
D. S = 2T + 11
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
The total cost of a taxi for certain distances is shown in the table below.
The relationship between the values in the table can be expressed as a
linear function.
What is the slope of this
function?
m=2
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
The table below shows how old Andrew and Lorne were in several different years.
If A represents Andrew's age and L represents Lorne's age, which equation could
be used to correctly predict Andrew's age when Lorne is 30 years old?
A.
B.
C.
D.
A=L−7
A = 30 − L
A + 21 = 30L
A=L−9
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
The table below shows the distance, in inches, that a snail and a centipede have
traveled over several minutes. Let S represent the number of inches the snail
has traveled and let C represent the number of inches the centipede has
traveled. If they both continue at the same rate, which equation could be used to
correctly predict the distance the centipede will have traveled when the snail has
traveled 12 inches?
A. C = 43
B. C = 2S + 16
C. C = 3S + 11
D. C = 4S + 3
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
David is training for a marathon. He writes down the time and distance for
each training run and then records the data on a scatter plot. He has drawn
a line of best fit on the scatter plot, as shown below.
Which statement best expresses the
meaning of the slope as a rate of change
for this line of best fit?
A. It represents the number of miles he
will have to run to finish the marathon.
B. It represents the average speed, in
miles per hour, of his training runs.
C. It represents the number of hours he
will need to finish the marathon.
D. It represents the distances, in miles,
that he ran while he was training.
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.
What is the x-coordinate of the
point at which this line
intersects the x-axis?
MA.912.A.3.11: Write an equation of a line that models a data set and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data,
recognizing that the slope is the rate of change.