Question

1. the ramy family decided they wanted to go out to lunch at john and maria’s. at john and maria’s the sandwiches cost $4 and the salads cost $3.

a. write an equation in standard form showing the relationship between the number of sandwiches, x, and the number of salads, y, if they spent $24.
$4x + 3y=24$
b. find the x - intercept and explain its meaning in the context of the problem.
c. find the y - intercept and explain its meaning in the context of the problem.

Explanation:

Step1: Find x - intercept

Set y = 0 in the equation $4x + 3y=24$.
$4x+3\times0 = 24$
$4x=24$
$x = 6$
In the context, it means if the family buys no salads (y = 0), they can buy 6 sandwiches.

Step2: Find y - intercept

Set x = 0 in the equation $4x + 3y=24$.
$4\times0+3y = 24$
$3y=24$
$y = 8$
In the context, it means if the family buys no sandwiches (x = 0), they can buy 8 salads.

Answer:

b. The x - intercept is 6. It means the number of sandwiches when no salads are bought.
c. The y - intercept is 8. It means the number of salads when no sandwiches are bought.