Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than s
1 answer:
Haruka hiked 14 kilometers in all.
Step-by-step explanation:
Given,
Distance hiked in afternoon = 6 kilometers
It was 25% less than Morning.
Let,
x be the distance hiked in morning;
x-25% of x = 6
Dividing both sides by 0.75
She hiked 8 kilometers in morning.
Total distance hiked = Distance in morning + Distance in evening
Total distance hiked = 8+6 = 14 kilometers
Haruka hiked 14 kilometers in all.
Keywords: distance, addition
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Answer:
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Step-by-step explanation:
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Answers:
- Exponential and increasing
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- Linear and increasing
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=========================================================
Explanation:
Problems 1, 2, and 5 are exponential functions of the form where b is the base of the exponent and 'a' is the starting term (when x=0).
If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.
If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.
In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.
Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.
---------------------
Problems 3 and 4 are linear functions of the form y = mx+b
m = slope
b = y intercept
This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.
If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.
On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.
Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.