Answer:
if that line follows y=mx...then answer is A
But it seems not....when we divided valuse like 60/2=30
75/3=25....
ratio is not the same
Its hard to tell....You must know exact cordinations
I can tell you this
I can say this if y=60 and x=2 and....y=120 and x=4...then it is propotional...but it seems not..
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.
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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:
b
Step-by-step explanation:
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
