The exponential function is 
Step-by-step explanation:
The form of the exponential function is 
, where
- a is the value of y when x = 0
- b is the rate of change
∵ The form of the exponential function is
∵ The function goes through points (0 , 12) and (2 , 768)
- Substitute the coordinates of the first point to find the value of a
∵ x = 0 and y = 12
∴ 
∵ 
∴ 12 = a(1)
∴ a = 12
Substitute the value of a in the form of the function
∴ 
- Substitute the coordinates of the second point to find the value of b
∵ x = 2 and y = 768
∴ 
- Divide both sides by 12
∴ 64 = b²
- Take √ for both sides
∴ b = 8
- Substitute the value of b in the form of the function
∴
The exponential function is
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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Answer:
Step-by-step explanation:
The (x - 4) indicates side-to-side movement, and the -3 at the end indicates up and down movement. This log graph has moved 4 units to the right (x - (4)) and down 3 units (-3)
To find the dollars per kilogram cost, find the cost for 1 kilogram. On the graph, it shows that at 1 kilogram, the cost is 3 dollars. Therefore, the cost is $3 per kilogram
Answer:
Step-by-step explanation:
Given that an investigator measuring various characteristics of a large group of athletes found that the correlation between the weight of an athlete and the amount of weight that athlete could lift was 0.60.
Correlation coefficient is the measure of association and a positive value implies that increase in one value causes increase in the other.
Hence out of the given options correct ones are
c) The more an athlete weights, on the average the more he weights.
d) The more an athlete can lift, on the average the more he weighs.
e) 60% of athlete's lifting ability can be attributed to his weight alone.
