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Basile [38]
3 years ago
10

Help... pls..............

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

Part A: y=5x

Part B: B and D

Step-by-step explanation:

The ratio of the number of cases to the total cost is 1:5. So, an equation that can be modeled by this situation in slope-intercept form is y=5x.

The unit rate actually does equal the constant of proportionality, so this is not true.

The unit rate of the number of cases per dollar is 1/5, so this is true.

No, the graph starts on the origin, so this isn’t true.

Points (0,0) and (1,5) are on the graph, so this is true.

25 cases will not cost $120, they will cost $125.

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Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is

40(12%) + x(30%) = (40 + x)(20%)

With the percents as decimals:

40(0.12) + x(0.3) = (40 + x)(0.2)

Simplifying, we have:

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Collecting the x terms on one side and the constants on the other:

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And multiplying both sides by 10 to find x:

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So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
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