angelinawiley13
angelinawiley13 angelinawiley13
  • 12-07-2019
  • Mathematics
contestada

The variable z is directly proportional to x. When x is 3, z has the value 48. What is the value of z when x = 7?

Respuesta :

jimrgrant1 jimrgrant1
  • 12-07-2019

Answer:

112

Step-by-step explanation:

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

z = kx ← k is the constant of proportionality

To find k use the condition x = 3 when z = 48

k = [tex]\frac{z}{x}[/tex] = [tex]\frac{48}{3}[/tex] = 16, thus

z = 16x ← equation of proportionality

When x = 7, then

z = 16 × 7 = 112

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