Question

How could you represent the following scenarios of the graph ? Silvia has $5.50 in her piggy bank and earns $2

per chore she does at her house.

Answer 1

We know that Silvia has $5.50 in her piggy bank, and she earns $2 per chore she does at her house.

So if she does x chores at her house, she will have:

y = f(x) = $2*x + $5.50

where y = her savings.

This is a linear relationship, to graph this, we need to evaluate the function in two different values of x so we can get two ordered pairs.

Then we graph the ordered pairs in the coordinate axis, and then we draw a line that passes through both points.

We can use the points given by x = 0.

y = f(0) = $2*0 + $5.50 = $5.50

Then we have the point (0, $5.50)

and if we use x = 1 we get:

y = f(1) = $2*1 + $5.50 = $7.50

Then we have the point (1, $7.50)

Now we just need to graph the points (0, $5.50) and (1, $7.50), and draw a line that passes through them.

The graph is shown below.