Atourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. after walking for a while, he gets tired and decides to get a taxi. the taxi gets him to the top traveling at a constant speed of 50 mph. if the tourist reaches the destination 2 hours after he started, what distance does he have to pay the cab driver for?

He pays to the cab driver for 25 miles.

Step-by-step explanation:

Consider the provided information.

Let us consider he walks x miles at the rate of 4 miles per hour.

As we know

Therefore, time taken is:

He get a taxi for (31-x) miles at the rate of 50 miles per hour.

Therefore, time taken is:

It took 2 hours after he started.

That means the sum of time take is 2 hours.

Hence he walk 6 miles and he get a taxi for 31-6=25 miles.

He pays to the cab driver for 25 miles.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!