Ryanzach525 Ryanzach525
  • 23-01-2020
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 23-01-2020

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 = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← equation of proportion

When x = 15, then

y = [tex]\frac{5}{3}[/tex] × 15 = 5 × 5 = 25

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