Given the table for x, tickets sold and y, money earned:
x - tickets 4 9 8 5 7
y - $ earned 48 108 96 60 84
a. Every ticket sold is ? dollars earned.
b. Dollars/1 ticket is called a ? .
c. This relationship is ?, because 0 tickets sold is ? dollars earned.
a. Every ticket sold is 12 dollars earned.
b. Dollars/1 ticket is called a ticket price.
c. This relationship is linear, because 0 tickets sold is 0 dollars earned.
b. Dollars/1 ticket is called a (variable, constant, unit rate, proportional, or non proportional)
c. This relationship is (variable, constant, unit rate, proportional, or non proportional),
b. Dollars/1 ticket is called a unit rate.
c. This relationship is proportional.
Given the table for x, time in minutes and y, distance traveled:
x - time 4 3 10 7 9
y - distance 76 57 190 133 171
a. Every minute ? meters are traveled.
b. Write an equation to show the relationship between x and y. ?
c. This relationship is ? because the y-intercept is ? .
a. Every minute 19 meters are traveled.
b. Write an equation to show the relationship between x and y:
y = 19x
c. This relationship is linear because the y-intercept is 0.
Use the graph to answer the questions.
a. The constant of proportionality is ?
b. Write an equation that represents the linear graph. ?
c. This is a proportional relationship because the graph shows ? .
a. The constant of proportionality is the slope of the linear graph.
b. Write an equation that represents the linear graph: y = mx + b. Here, m represents the slope and b represents the y-intercept.
c. This is a proportional relationship because the graph shows a straight line passing through the origin (0,0), indicating a constant ratio between the x and y values.