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vovangra [49]
3 years ago
7

A kayak rental company charges $25.00 to rent a kayak and $3.50 for each half hour it is used.

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0

Answer:

The Answer would be D.

r(t) = 3.50t +25

r(8) = 53

Step-by-step explanation:

The Rental Company charges a fixed price of $25 to rent the kayak, as well as an additional $3.50 for <u>each half hour</u>. So the only variable we are looking at would be the amount of time the kayak was rented. We can model this question with the following equation.

f(x) = 25 + 3.50x

with x being the time the kayak was rented in 30 min intervals. Since the kayak was rented for 4 hours we can multiply this by 2 to get 8 (30 min intervals). Now we can plug this into the formula and solve it.

f(8) = 25 + 3.50(8)

f(8) = 25+  28

f(8) = 53

So to rent the kayak for 4 hours it would cost $53

pogonyaev3 years ago
3 0

Answer:

Option D (r(t) = 3.50t +25 ; r(8) = 53)

Step-by-step explanation:

The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:

r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.

4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).

r(8) = 25 + 3.5*(8) = 25 + 28 = 53.

Therefore, Option D is the correct answer!!!

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Answer:

The measure of middles angle is 113.5° .

Step-by-step explanation:

Given as :

The measure of the largest angle is 10 less than 5 time the smallest angle.

The measure of the middle angle is 6 more than twice the measure of the largest angle

Let The largest angle = L

Let The middle angle = M

Let The smallest angle = S

As per statement

Largest angle = 5 times smallest angle - 10

i.e L = 5 × S - 10                .....1

Again

Middle angle = twice largest angle + 6

i.e M = 2 × L + 6                ......2

Since for any Triangle sum of three angles = 180°

i.e ∠L + ∠M + ∠S = 180°

Or, ( 5 × S - 10 ) + ( 2 × L + 6 ) + S = 180°

Or,  ( 5 × S - 10 ) + [ 2 × (5 × S - 10 ) + 6 ] + S = 180°      

Or, 5 S - 10 + (10 S - 20 + 6) + S = 180°      

Or, 5 S - 10 + 10 S - 20 + 6 + S = 180°    

Or, (5 + 10 + 1) S - 24 =  180°    

Or, 16 S =  180° + 24

Or, 16 S = 204

∴  S = \dfrac{204}{16}

i.e S = 12.75

So, The measure of smallest angle = S = 12.75°

And

L = 5 × 12.75 - 10  

i.e L = 53.75

So, The measure of Largest angle = L = 53.75°

And

M = 2 × L + 6                

Or, M = 2 × 53.75 + 6

i.e M = 107.5 + 6 = 113.5

So, The measure of middles angle = M = 113.5°

Hence,  The measure of middles angle is 113.5° . Answer

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