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SIZIF [17.4K]
3 years ago
6

Tracey pays $18 to enter a theme park, plus $2 for each ride. Which of the following correctly describes the slope? A. she must

pay a flat rate of $18. B. Her total cost increases by $2, for each ride purchased. C. Her total cost is at least $20. D. her total cost increased by $3, for each ride purchased
Mathematics
2 answers:
Pie3 years ago
8 0

Answer: Option B

Her total cost increases by $2, for each ride purchased

Step-by-step explanation:

We know that $ 18 is the cost of the ticket. We do not know exactly how many trips you will make, but we know that the cost is $ 2 for each ride.

If we call "x" the number of rides then we know that the total cost "y" is:

y = 2x + 18

Note that the cost increases by $2 for each ride

The equation of a line has the following form

y = mx + b

Where m is the slope of the line.

In this case we have the following equation

y = 2x + 18

Therefore m = 2. Then the slope is the cost of $2 for each ride

Finally the answer is the option B.  Her total cost increases by $2, for each ride purchased

ivolga24 [154]3 years ago
4 0

Answer:

B.

Step-by-step explanation:

You pay a one time fee of 18 dollars and then 2 dollars per ride.

The expression for that is 18+2r where r represents the number of rides and the output of (18+2r) is amount you spend.

f(r)=2r+18 when compared to f(x)=mx+b where m is slope and b is y-intercept

you should see that the slope is $2 per ride.

B. is the option that says this.

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3 years ago
1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable a
Rufina [12.5K]

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

f(x)=x^2

g(x)=|x|

It is given that,

(f\circ g)(x)=|x|^2=x^2

(g\circ f)(x)=|x^2|=x^2

According to chin rule,

(f\circ g)(c)=f(g(c))=f'(g(c)g'(c)

It means, (f\circ g)(c) is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

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3 years ago
20liters of mixture contain milk nad water in the ratio 5:3 if 4liters of the mixture are replaced by 4 liters of milk find the
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Answer:

the new ratio milk/water is  14:6  or 7:3

Step-by-step explanation:

milk/water=5/3

milk +water=5+3=8

ratio of milk=5/8  and ratio of water=3/8

if 4 liter removed from mixture then: 20=4= 16 liter

the amount of milk in 16 liter=16*5/8=10 liter of milk

the amount of water in 16 liter=16*3/8= 6 liter

add 4 liter of milk to the mixture: 10+4=14 liter of milk and 6 liter of water

the new ratio milk/water is  14:6  or 7:3

5 0
3 years ago
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