All categories

3 years ago

2. Suppose that y varies inversely with x. Write an equation for the inverse variation.

Mathematics

1 answer:

labwork [276]3 years ago

7 0

Answer:

$y=\frac{28}{x}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

we have

y = 4 when x = 7

Find the value of the constant of proportionality k

$k=y*x$

substitute

$k=(4)(7)=28$

therefore

The equation for the inverse variation is equal to

$y=\frac{28}{x}$

You might be interested in

-5(5c-3b-1) distribute property

andrew11 [14]

Answer:-25c+15b+5 ..add it up then boom you'll get your answer

Step-by-step explanation:

4 0

2 years ago

Cinemark Theater has three categories for ticket prices. Adult tickets

love history [14]

Have you solved your problems yet

8 0

2 years ago

The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In 2019 the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in 2019 the population be 1600 students

6 0

3 years ago

Can anyone help me with this please ? I’ll mark you as a brainliest

ira [324]

Answer:

Step-by-step explanation:

7 0

2 years ago

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

4% account:

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

5% account:

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago