Question

For each table, determine whether the relationship is a linear function. Then represent the relationship using words, an equation, and a graph.

Answer 1

The relationship is a linear function and the equation is f(x) = 1.29x + 52.07

How to determine whether the relationship is a linear function

From the question, we have the following parameters that can be used in our computation:

The table of values

The table represents a linear function

A linear relation is represented as

f(x) = mx + c

Where

m = slope

c = y-intercept i.e. y value when x = 0

So, we have

f(x) = mx + 52.07

When x = 1, we have

m + 52.07 = 53.35

This gives

m = 1.29

So, we have

f(x) = 1.29x + 52.07

Hence, the equation is f(x) = 1.29x + 52.07