You just found that x = 4. 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 = 4? You can use either equation to find out. You can solve on paper, and then enter your answer on Zearn.

Miles Jane runs per week: y= 10+10x
Miles Charlie runs per week: y= 30+5x

y= 10+10x
y= 30+5x
When x= 4, y=

1 answer

To find the corresponding y-coordinate when \( x = 4 \), we can substitute \( x = 4 \) into either of the equations provided. Let's use both equations to verify that they give the same result.

  1. For Miles Jane's equation: \[ y = 10 + 10x \] Substitute \( x = 4 \): \[ y = 10 + 10(4) = 10 + 40 = 50 \]

  2. For Charlie's equation: \[ y = 30 + 5x \] Substitute \( x = 4 \): \[ y = 30 + 5(4) = 30 + 20 = 50 \]

In both cases, when \( x = 4 \), the value of \( y \) is 50.

So, the answer is: \[ \boxed{50} \]