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Alja [10]
3 years ago
13

jane tried to fly her kite but discovered that the kite string was too short. if she doubles the length of the string, it will b

e 28 feet long
Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0
An equation to model this scenario would be 2s=28, with "s" being the string.
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numbers of the wide waters Club pay $105 per summer season plus $9.50 each time they rent a boat non members must pay $14.75 eac
Ahat [919]

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 .

8 0
4 years ago
Read 2 more answers
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
alexandr1967 [171]

Answer:

oh sor

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A company manufactures and sells video games. A survey of video game stores indicated that at a price of $66 each, the demand wo
AysviL [449]

Answer:

y=-30x+2380

Step-by-step explanation:

x\rightarrow represent price per video game.

y\rightarrow represent demand.

The linear equation in slope intercept form can be represented as:

y=mx+b

where m is slope of line or rate of change of demand of game per dollar change in price and b 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. (66,400)

When price was $36 each demand was 1300. (36,1300)

Using the points we can find slope m of line.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1300-400}{36-66)}

m=\frac{900}{-30}

m=-30

Using point slope form of linear equation to write the equation using a given point.

y-y_1=m(x-x_1)

Using point (66,400).

y-400=-30(x-66)

⇒ y-400=-30x+1980    [Using distribution]

Adding 400 to both sides:

⇒ y-400+400=-30x+1980+400

⇒y=-30x+2380

The linear relationship between price and demand can be written as:

y=-30x+2380

4 0
3 years ago
5x + 3y=33 when y= 2x + 1
inn [45]
Hope that this helps.

3 0
4 years ago
What is the inverse of function f? F(X) = square root of x +7
katrin2010 [14]

Answer: f^{-1} (x)=x^{2} -7

Step-by-step explanation:

To find the inverse of a function replace f(x) with x and the original x with y

f(x)=\sqrt{x+7} \\x=\sqrt{y+7}

Now we can solve for y

Square both sides so we can cancel out the root

x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7

Now subtract 7 from both sides

x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y

Now replace y with the inverse of f(x), f^{-1} (x)

6 0
3 years ago
Read 2 more answers
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