Question

You just found that x = 3. That’s the same as the x-coordinate at the point of intersection. Let’s see if the corresponding y-coordinate is the same, too. What’s the value of y when x = 3? You can use either equation to find out. You can solve on paper, and then enter your answer on Zearn.
Miles Olivia bikes per week: y= 60+20x
Miles Addison bikes per week: y= 90+10x


y= 60+20x
y= 90+10x

Answer 1

To find the corresponding \( y \) value when \( x = 3 \), you can use either of the given equations. Let's plug \( x = 3 \) into each equation to find \( y \).

Starting with Miles' equation:

\[
y = 60 + 20x
\]

Substituting \( x = 3 \):

\[
y = 60 + 20(3)
\]

\[
y = 60 + 60
\]

\[
y = 120
\]

Now let's check Addison's equation to make sure we get the same \( y \):

\[
y = 90 + 10x
\]

Substituting \( x = 3 \):

\[
y = 90 + 10(3)
\]

\[
y = 90 + 30
\]

\[
y = 120
\]

So in both equations, when \( x = 3 \), the corresponding \( y \) value is \( 120 \).

Thus, the value of \( y \) when \( x = 3 \) is **120**.