Question

fill in the table and graph:
5x + 4y = 1000

Explanation:

Step1: Find y when x = 0

Substitute \( x = 0 \) into the equation \( 5x + 4y = 1000 \).

$$ 5(0) + 4y = 1000 $$

Simplify the left - hand side: \( 0+4y = 1000 \), then \( 4y=1000 \).
Divide both sides by 4: \( y=\frac{1000}{4}=250 \).

Step2: Find x when y = 0

Substitute \( y = 0 \) into the equation \( 5x + 4y = 1000 \).

$$ 5x+4(0)=1000 $$

Simplify the left - hand side: \( 5x + 0=1000 \), then \( 5x = 1000 \).
Divide both sides by 5: \( x=\frac{1000}{5}=200 \).

Answer:

When \( x = 0 \), \( y = 250 \); when \( y = 0 \), \( x = 200 \). So the completed table (for the given cells) has \( y = 250 \) when \( x = 0 \) and \( x = 200 \) when \( y = 0 \).