Question

Function 1 is defined by the equations r=3/4t +5 Function 2 is defined by the following table

Answer 1

Function 2 has a greater y-intercept

Graphs

Graphs can be used to represent functions, equations, tables and relations

Equations

The equation of function 1 is given as:

$r =\frac 34t + 5$

To calculate the y-intercept, we set t to 0.

So, we have:

$r =\frac 34 \times 0 + 5$

$r =5$

For the table of function 2, the y-intercept is 5.25

By comparison:

5.25 is greater than 5

Hence, function 2 has a greater y-intercept

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