Question

challenge #1 here are equations for each lizard’s height above the flower, y, as a function of time, x seconds:
y = -5x + 50
y = 5x + 10
when and where will the lizards have the same position?
time (sec), x | height (cm), y
check my work

Explanation:

Step1: Set equations equal

To find when the lizards have the same position, set \( -5x + 50 = 5x + 10 \).

Step2: Solve for x

Add \( 5x \) to both sides: \( 50 = 10x + 10 \). Subtract 10: \( 40 = 10x \). Divide by 10: \( x = 4 \).

Step3: Find y

Substitute \( x = 4 \) into \( y = 5x + 10 \): \( y = 5(4) + 10 = 30 \).

Answer:

Time: 4 seconds, Height: 30 cm