Agroup of friends decided to divide the $800 cost of a trip equally among themselves. when two of the friends decided not to go on the trip, those remaining still divided the $800, 800 cost equally, but each friend’s share of the cost increased by $20. how many friends were in the group originally?

The number of friends were in the group originally is 10.

Step-by-step explanation:

Given : A group of friends decided to divide the $800 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the $800, 800 cost equally, but each friend’s share of the cost increased by $20.

To find : How many friends were in the group originally?

Solution :

Let the number of friends be 'x'.

A group of friends decided to divide the $800 cost of a trip equally among themselves.

i.e. Cost of trip for each friend is

When two of the friends decided not to go on the trip, those remaining still divided the $800.

i.e. Cost of trip for each friend is  

The increase in cost for each remaining friend is $20.

i.e.  

Divide the equation by 20,

Taking LCM,

Cross multiply,

Solving by middle term split,

Rejecting x=-8.

Accepting x=10.

Therefore, The number of friends were in the group originally is 10.

A) The amplitude of f is five times greater than the amplitude of g.

Step-by-step explanation:

We know that amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.

From graph we can see that amplitude of function f is 5 while amplitude of function g is 1.

Clearly 5 is five times than 1.

So first choice "A) The amplitude of f is five times greater than the amplitude of g." is true.