Question

If x varies directly as y, then what is y when x = 4, knowing that x = 60 when y = 5?

Answer 1

Answer:

1/3

Step-by-step explanation:

Formula for direct variation:  y = kx, where k is the proportionality constant.

Knowing that x = 60 when y = 5, we have:

5 = k(60), or k = 5/60, or k = (1/12).

Thus, y = (1/12)x.

If x = 4, y = 4/12 = 1/3.

Answer 2

Answer:  The answer would be 1/2

Step-by-step explanation:

Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x

The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5

It is a linear equation meaning equation of a straight line.

its form is y= mx+b, where m is the slope of the line, b is the y intercept when x=0. these info you have to memorize like your life depend on it.

next, y varies directly as x. If y = 15 when x = 60, find y when x = 100

if y= 15, when x=60, then there is a number m such that m*y= 60

or m= 60/y= 60/15 =4

so the equation is y=4x. in this cause, the b=0

so when x=0, y=0

The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours?

remember that distance = speed times time.

or d=Vt

so car goes 105 miles on 3 hours

how far it goes in one hour?

if you know that, then you can tell how far it goes in 5 hours.

Hope I made it non tough enough

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