The total fare (F) for x kilometers given that Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.

Given:

Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.

To find:

The total fare (F) for x kilometers.

Solution:

Let x be the number of kilometers and F(x) is total fare.

Number of kilometers cannot be negative. So, x is always greater than 0.

Php 50.00 is paid for the first 10 kilometers.

for

The addition of Php 5.00 for every succeeding kilometer.

for

Therefore, the required function is

.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,