If a person rows to his favorite fishing spot 14 miles downstream in the same amount of time that he rows 2 miles upstream and if the current is 6 mph, find how long it takes him to cover 16 miles. it will take the person _ hour(s) to cover a distance of 16 miles.

We will use distance formula which states:

where 'd' is the distance, 'r' is rate or speed and 't' is time taken.

So,

Let 'u' be the speed of boat in still water.

A person rows 14 miles downstream to the fishing spot.

So, the speed of boat downstream = (u+6) mph

Time taken by boat to go downstream = hr

He rows 2 miles upstream from the fishing spot.

So, the speed of boat upstream = (u-6) mph

Time taken by boat to go upstream = hr

Since, The person took same amount of time in going downstream and then going upstream.

So,

Cross multiplying, we get

u = 8

So, speed of boat in still water is 8mph.

Now, Time taken in going downstream =

=

= 1 hr

Now, Time taken in going upstream =

=

= 1 hr

So, total time taken to cover 16 miles is 2 hours.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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