The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.

So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x

K = constant, we have to work this out

7 = k ÷ -4

7 × - 4 = k

k = - 4 × 7

k = -28

k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x

3 0

2 years ago

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relatio

maria [59]

Answer:

y = 2/3x

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

y = kx

The coefficient is:

k = y/x

Let's verify if the given numbers fit into the same relationship:

12/18 = 2/3
8/12 = 2/3
20/30 = 2/3

We confirm all same and it means k = 2/3

Required equation is:

y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

7 0

2 years ago

The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently presen

marusya05 [52]

Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

8 0

2 years ago

A yield sign measures 30 inches on all three sides. what is the area of the sign

Nookie1986 [14]

Answer:

450

Step-by-step explanation:

To find an area of the triangle, you must first multiply the base and the height.

5 0

3 years ago