The member pays $9.50 to take a boat out,
plus $105 just to be a member.
Let's call ' R ' the number of rentals
Member Cost = (9.50 times R) + 105
Non-member cost = (14.75 times R) .
You're interested in when their costs are equal,
so at that point, we can write ...
Member cost = non-member cost
9.5 R + 105 = 14.75 R
Subtract 9.5 R from each side: 105 = 5.25 R
Divide each side by 5.25 : 20 = R
If you're going to rent a boat less than 20 times during the
Summer season, rent them at the non-member rate.
More than 20 times in 1 Summer, you'll save money by being
a member.
This sounds a bit extreme to me. If the Summer season means
ALL of May, June, July, August, and September, then you would
need to average more than one rental every 7.65 days ... a hair
more than one a week ... in order to save any money by being a
member. I love sailboat rental, and I live just 2 miles from Lake
Michigan, but even at these prices (cheap), I would never average
a rental every week for 5 months. So for me, there would be no
benefit in a membership ... at least not in the cost of boat rental.
========================================
Another way to do it, with more brain but less algebra:
Each time a member rents a boat, he pays (14.75 - 9.50) = 5.25
LESS than a non-member would pay to rent the same boat.
But in order to get that deal, he had to pay $105 "up front", at the
beginning of the season, before he ever rented anything.
How many times does he have to 'save' $5.25 before he makes up
for the the $105 ?
($105) / ($5.25) = 20 times .
Answer:
Step-by-step explanation:
represent price per video game.
represent demand.
The linear equation in slope intercept form can be represented as:
where 
is slope of line or rate of change of demand of game per dollar change in price and 
is the y-intercept or initial price of game.
We can construct two points using the data given.
When price was $66 each demand was 400. 
When price was $36 each demand was 1300. 
Using the points we can find slope of line.
Using point slope form of linear equation to write the equation using a given point.
Using point .
⇒ 
[Using distribution]
Adding 400 to both sides:
⇒ 
⇒
The linear relationship between price and demand can be written as:
Answer: 
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and the original x with y
Now we can solve for y
Square both sides so we can cancel out the root
Now subtract 7 from both sides
Now replace y with the inverse of f(x), 
