Question

Match each table of data below with the most appropriate graph and briefly explain why it matches the data

Answer 1

Answer:

Table a match with  Graph 3

Table b match with Graph 2

Table c match with Graph 4

Step-by-step explanation:

Table a

Time is plotted on x - axis and Temp on y axis

From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3

Table b

Time plotted on x axis, cost on y axis

Looking at the values we see that they are almost linear except for 2 values  at x = 2 and 2.5 and at y = 5 and 5.3.

Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2

However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2

Table c

Months plotted on x axis and length of fetus on the y axis

We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows  down  between months 6 and 9. Only Graph 4 fits this pattern