alangevin03 alangevin03
  • 25-05-2021
  • Mathematics
contestada

If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 30-05-2021

Answer:

[tex]y = 75[/tex]

Step-by-step explanation:

Given

[tex]y\ \alpha\ \ x[/tex]

[tex]y=24; x =16[/tex]

Required

Find y when [tex]x = 50[/tex]

We have:

[tex]y\ \alpha\ \ x[/tex]

Express as equation

[tex]y = kx[/tex]

Solve for k

[tex]k = \frac{y}{x}[/tex]

When [tex]y=24; x =16[/tex]

[tex]k = \frac{24}{16}[/tex]

[tex]k = \frac{3}{2}[/tex]

When [tex]x = 50[/tex], we have:

[tex]y = kx[/tex]

[tex]y = \frac{3}{2} * 50[/tex]

[tex]y = 75[/tex]

Answer Link

Otras preguntas

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.
What is the value of the digit 9 in the number 913,256?
The value of 7 in 503,497 is blank times the value of 7 in 26,475
What is 1/10 of 3000
7/18 ratio in simplest form
Jake and Seth put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in
what property describes the number sentence? 6+0=6
At tire depot a pair of tires sells for $216.The manager special advertises the same tires selling at a rate of $380 for 4 tires .Hoe much do you save per tire
what is the value of n? 9×27+2×31-28=
Why did England begin to heavily tax the colonies