Question

The variable is directly proportional to the variable . If y = 10 when x = 6, what is the value of y when x = 15?

Answer 1

Answer:

y = 25

Step-by-step explanation:

Given that the quantities are proportional then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 10 when x = 6

k = $\frac{y}{x}$ = $\frac{10}{6}$ = $\frac{5}{3}$

y = $\frac{5}{3}$ x ← equation of proportion

When x = 15, then

y = $\frac{5}{3}$ × 15 = 5 × 5 = 25