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2) The next day they go to Melties. Al buys a cone with 3.6 oz of frozen yogurt for $4.47, and Beth buys a cone with 4.8 oz of frozen yogurt for $5.01. Find how much Melties charges per ounce of frozen yogurt and how much they charge for the cone.

Respuesta :

2) The next day they go to Melties. Al buys a cone with 3.6 oz of frozen yogurt for $4.47, and Beth buys a cone with 4.8 oz of frozen yogurt for $5.01. Find how much Melties charges per ounce of frozen yogurt and how much they charge for the cone.​

Let

x ------> the number of ounces of frozen yogurt

y ------> the total charge

we have the ordered pairs

(3.6,4.47) and (4.8,5.01)

step 1

Find the slope pr unit rate

m=(5.01-4.47)/(4.8-3.6)

m=$0.45 per ounce

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=0.45

(x1,y1)=(3.6,4.47)

substitute

y-4.47=0.45(x-3.6)

convert to slope intercept form

y-4.47=0.45x-1.62

y=0.45x+2.85

In this problem, the y-intercept or initial value correspond to the charge for the cone

so

$2.85