The table represents the time it took Bill to complete sets of math problems. Which equation represents this relationship?
table:
30 minutes = 36 problems
40 minutes=48 problems
50 minutes=60 problems
60 minutes= 72 problems
give me a equation
Let's first observe the relationship between time and the number of problems completed:
30 minutes --> 36 problems
40 minutes --> 48 problems
50 minutes --> 60 problems
60 minutes --> 72 problems
We can see that as time increases, the number of problems completed also increases.
Let's define:
t as the time (in minutes)
p as the number of problems completed
To find the relationship between t and p, let's figure out the rate at which p changes with respect to t.
For each 10-minute increase in time, there is an increase of 12 problems (36 problems to 48 problems, and 48 problems to 60 problems). This means that the number of problems completed increases by 12 problems for every 10 minutes.
So, for every 10 minutes, the rate of change of p with respect to t is 12/10 = 1.2 problems/minute.
We can express this relationship using the equation:
p = 1.2t
Therefore, the equation that represents this relationship is p = 1.2t.