y is directly proportional to x. When x = 4, y= 12.(a) Find the equation of y in term of x. (b) Find the value of y when x=7

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 4 , y = 12 , then

12 = 4k ( divide both sides by 4 )

3 = k

y = 3x ← equation of proportion

(b)

When x = 7 , then

y = 3 × 7 = 21

a) y = 3x

b) y = 21

Step-by-step explanation:

a) y = kx

When x = 4, y = 12,

12 = k*4

k = 12/4

  = 3

y = 3x

b) When x=7,

y = 3(7)

= 21

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In the given question, it is given that

ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is

And that's the required missing ratio for tan B .