The table represents the time it took Bill to complete sets of math problems. Which equation represents this relationship?
Time (in minutes)
30, 40, 50, 60
Number of Problems in Set
36, 48, 60, 72
( 1 point)
A. y = 1.2x
B. y = 12x
C. y = x + 12
D. y = x + 1.2
To find the relationship between the time (x) and the number of problems in a set (y), we need to determine the equation that relates the two variables.
Looking at the numbers in the table, we can observe that the time (x) is directly proportional to the number of problems in a set (y). This means that as the time increases, the number of problems in a set also increases.
To determine the equation, we can look for the common rate of change between the variables. The rate of change indicates the amount by which one variable changes in relation to a one-unit increase in the other variable.
In this case, the common rate of change between the time (x) and the number of problems in a set (y) is 12. This is apparent because for every increase of 10 minutes in the time, there is an increase of 12 problems.
Therefore, the equation that represents this relationship is:
y = 12x
Therefore, the correct answer is B. y = 12x.