Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if
where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
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Answer:
B. 1.2 x 
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.
1.2 x 10^-4
<u>Hope this helps and have a nice day!</u>
Answer:If you would like to know what will the approximate population be after 3 years, you can calculate this using the following steps:
an initial population ... 298 quail
an annual rate ... 8%
an exponential function to model the quail population:
f = 298(1+8%)^t = 298(1+8/100)^t
f ... quail population
t ... time (years)
t = 3 years
f = 298(1+8/100)^t = 298(1.08)^3 = 375.4 quail
375.4 quail after 3 years.
The correct answer is 0,10
Answer:
Maria and Antonio
Step-by-step explanation:
sorry if it's wrong