Question

You upload digital photos to an online photo processing website. You can print 4-inch-by-6-inch photos for $0.30 each and 5-inch-by-7-inch photos for $0.75 each. The linear equation 0.30x + 0.75 = 15 represents the ways you can print x 4-inch-by-6-inch photos and y 5-inch-by-7-inch photos for $15. Find the x- and y-intercepts of the linear equation.

Answer 1

The x-intercept of the equation 0.30x + 0.75y = 15, where x and y represent quantities of two different photo sizes, is 50 when y is set to 0. The y-intercept is 20 when x is set to 0.

Step-by-step explanation:

The linear equation given is 0.30x + 0.75y = 15, which represents the ways you can print x 4-inch-by-6-inch photos and y 5-inch-by-7-inch photos for $15. To find the x-intercept, set y to 0 and solve for x; to find the y-intercept, set x to 0 and solve for y.

To find the x-intercept:
The equation simplifies to 0.30x = 15.

Divide by 0.30 to find x, which gives us x = 15 / 0.30, or x = 50.

Divide by 0.75 to find y, which gives us y = 15 / 0.75, or y = 20.

Therefore, the x-intercept is 50, and the y-intercept is 20.