If y varies directly as x and y = 208 when x = 16, what is the value of y when x = 11?

a.
143
b.
121
c.
16
d.
169

a. 143

Step-by-step explanation:

Given,

y varies directly as x

That is,  y ∝ x

Where k is a proportionality constant,

Given, For x = 16, y = 208,

Then, from equation (1),

208 = k(16) ⇒ k = 13,

Again, from equation (1),

y = 13 x

Now, for x = 11,

y = 13(11) = 143

⇒ Option a is correct.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58