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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.

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Answer:

50 and 20

Step-by-step explanation:

I can print 4-inch-by-6-inch photos for $0.30 each and 5-inch-by-7-inch photos for $0.75 each from the online photo processing website.

If I print 4-inch-by-6-inch photos of x numbers and 5-inch-by-7-inch photos of y numbers then total cost becomes $15 and the equation that gives the situation is 0.30x + 0.75y = 15

⇒ [tex]\frac{0.30x}{15} + \frac{0.75y}{15} =1[/tex]

⇒ [tex]\frac{x}{50}+ \frac{y}{20} =1[/tex]

Hence, this is an equation in intercept form and the x and y intercepts are respectively 50 and 20. (Answer)

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