What angles could be classified as alternate interior angles?

For all three water parks the cost of a function of numbers of right compare the functions for all three water parks in terms of

Aleks [24]

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

From the graph, we have the following points

$(x_1,y_1) = (0,8)$

$(x_2,y_2) = (2,12)$

Calculate slope

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

$m = \frac{12-8}{2-0}$

$m = \frac{4}{2}$

$m =2$ --- This represents the rate per ride

The equation is the calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 2(x - 0) + 8$

$y = 2(x) + 8$

$y = 2x + 8$

So, the cost function is:

$C(x) =2x + 8$

Calculate the cost of admission i.e. x=0

$C(0) = 2*0+8 = 8$

So, we have:

$C(0) = 8$ --- Admission Charge

$C(x) =2x + 8$ --- Cost function

$m =2$ --- Rate per ride

From the table, we have the following points

$(x_1,y_1) = (0,12)$

$(x_2,y_2) = (4,15)$

Calculate slope

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

$m = \frac{15-12}{4-0}$

$m = \frac{3}{4}$

$m = 0.75$ --- This represents the rate per ride

The equation is the calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 0.75(x - 0) + 12$

$y = 0.75(x) + 12$

$y = 0.75x + 12$

So, the cost function is:

$C(x) = 0.75x + 12$

Calculate the cost of admission i.e. x=0

$C(0) = 0.75*0 + 12=12$

So, we have:

$C(0) =12$ --- Admission Charge

$C(x) = 0.75x + 12$ --- Cost function

$m = 0.75$ --- Rate per ride

No additional fee;

So, the cost function is;

$C(x) = 30$

In summary, we have:

Ride A

$C(x) =2x + 8$ --- Cost function

$m =2$ --- Rate per ride

Ride B

$C(x) = 0.75x + 12$ --- Cost function

$m = 0.75$ --- Rate per ride

Ride C

$C(x) = 30$ --- Cost function

<u>By comparison</u>

Ride A has the highest rate per ride of (#2), followed by ride B with a rate of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

<em>For A and B, the overall cost depends on the number of rides taken.</em>

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

4 0

3 years ago

Kyle purchased a 20 lb. pumpkin for $5.95. Elizabeth purchased a 15 lb. pumpkin for $5.00. Elijah purchased an 8 oz. pumpkin for

Ivan

Kyle purchased a 20 lb. pumpkin for $5.95.

Cost per lb of pumpkin for Kyle = 5.95/ 12 = $0.496.

Elizabeth purchased a 15 lb. pumpkin for $5.00.

Cost per lb of pumpkin for Elizabeth = 5.00/15 = $0.333.

Elijah purchased an 8 oz. pumpkin for $ 0.16.

16 oz = 1 lb

8 oz = 0.5 lb.

Cost per lb of pumpkin for Elijah = 0.16/ 0.5 = $ 0.32.

<h3>Cost per lb of pumpkin for Elijah is $ 0.32 is the lowest price per lb of pumpkin .</h3><h3>Cost per lb of pumpkin for Kyle is $ $0.496 is the highest price per lb of pumpkin .</h3><h3>Therefore, Elijah got the best deal and Kyle got the worst deal.</h3>

3 0

3 years ago

Thermometer A shows the temperature in the morning. Thermometer B shows the temperature in the evening. What is the difference i

Evgesh-ka [11]

Answer:

(Thermometer B reading - Thermometer A reading)

Step-by-step explanation:

The thermometer reading aren't given in the question.

However, hypothetically.

The difference between two temperature values (morning and evening values) would be :

Temperature in the evening - morning temperature

Therefore,

If ;

Thermometer A reading = morning temperature

Thermometer B reading = evening temperature

Difference in the temperature :

(Thermometer B reading - Thermometer A reading)

3 0

3 years ago

Find the sum of the integers from -6 to 57<br> A. 1,500<br> B. 1,621<br> C. 1,734<br> D. 1,512

krek1111 [17]

Answer: it D. 1,512

Step-by-step explanation: i hop this helps if it wrong sorry about that

4 0

3 years ago

Carland Tim start a yard cleaning business, During the first week they

pogonyaev

Answer:

They spend = $58

They earned = $35

Step-by-step explanation:

6 0

3 years ago