Beveragesat the Store2,000milliliters ofsoda2.5 liters ofapple juice1,500milliliters offruit punch2 liters oflemonade2. Mandy wa
nts to buy a variety of beverages for her birthday party. Shewants to make sure she has enough to drink for all her friends, so shedecides to buy 10 liters of beverages. If she buys at least onecontainer of each beverage, what combination of beverages can shebuy to equal exactly 10 liters?
1 answer:
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Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:
Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72