Question

What is real-life relationship that might be described by the graph?

Answer 1

This specific graph really has no real life application and is just used to demonstrate how graphs work. However graphs can be useful when trying to model a system in real life. For example you can use a graph to model the relationship between altitude and temperature. You could also model the relationship between hours studied and grade received on a test. Graphs are useful because they allow you to visually interpret data, and make more highly educated predictions about the behavior of a system.

Answer 2

The real-life relationship that might be described by the graph is the number of days in a week.

Explanation:

The graph represents a linear function. Linear functions are functions that have a constant rate of change and are expressed as.

y=mx +b

where x and y are the independent and dependent variables , m is the constant rate of change and b is the intercept of the function in the y chord. In your case taking time weeks as x (W) variable and time days as y variable (D)

D = mW + b

when week is 0 eh graph shows that D=0 so

0 = m(0) + b

0 = b

b= 0

m represent how much the y variable changes when x increases by one. Any week has 7 days and this relationship is constant no matter how many weeks we are talking about so

1 week - 7 days

so m = 7. One week corresponds to 7 days

and the function can be represented as

D= 7W