3 years ago

The values of x and y vary directly

Mathematics

1 answer:

Rama09 [41]3 years ago

7 0

Answer:

y = - $\frac{3}{2}$ x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = - 4, y = 6, thus

k = $\frac{y}{x}$ = $\frac{6}{-4}$ = - $\frac{3}{2}$

y = - $\frac{3}{2}$ x ← equation of variation

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It takes 32 minutes for 3 people to paint 4 walls. How many minutes does it take 4 people to paint 7 walls?

vampirchik [111]

Answer:

Step-by-step explanation:

Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:

$\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min$ . Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.

If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:

$\frac{10.6666}{1.33333}=\frac{x}{1.75}$ Cross multiply to get