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

1 answer

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.