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zhenek [66]
3 years ago
12

If we multiply a positive and a negative number, is the result positive or negative?

Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

Negative

Step-by-step explanation:

It's negative because my math teacher said so a few years ago. Sorry for the not so great explanation... I didn't pay attention that day.

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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
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Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

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

<u>Ride A</u>

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

<u>Ride B</u>

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

<u>Ride C</u>

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

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Step-by-step explanation:

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