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Katen [24]
3 years ago
13

In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H

ow much does the cost increase for every occupant?
Mathematics
2 answers:
Vsevolod [243]3 years ago
5 0

Answer:

$10.

Step-by-step explanation:

We have been given a function y=10.00x+35, where  y represents the cost of cabin lodging per occupant and x represents the number of occupants.

Since slope of a line is also known as unit rate, so the cost increase for every occupant will be equal to the slope of line.

We can see from our given expression that 10.00x represents the slope of line, so the cost increase for every occupant is $10.

UkoKoshka [18]3 years ago
4 0
Y = 10x + 35

if y is cost per occupant and x is occupants, then we can read the equation as such:

Cost is equal to 10 times number of occupants plus a 35$ fee

10 times the number of occupants is the part we are worried about

The cost increases by 10$ for every occupant


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Every summer I drive to San Diego. It is 700 km to get there. If I average 100 km/hr, how much time will I spend driving?
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2 years ago
Can someone help me for this question please? I just keep getting wrong answer! Pls someone explain to me step by step! ASAP!!!
Kobotan [32]

Answer:

  84 feet

Step-by-step explanation:

This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

  H(x) = 16(1 -(x/40)^2)

The taller arch is twice this height, so the length of a vertical stringer at position x is

  vertical length = 2H(x) -H(x) = H(x)

That is, the function H(x) we defined can be used to find the length of the stringers.

The third step is to find the stringer lengths. It can save some energy if you realize that the problem is symmetrical, so that the stringer at x=-30 is the same length as the one at x=30. We need to find stringer lengths every 10 feet from -40 feet to +40 feet. Of course, the ones at ±40 feet are zero length, because that is where the two arches meet.

  H(-30) = 16(1 -(3/4)^2) = 7

  H(-20) = 16(1 -(1/2)^2) = 12

  H(-10) = 16(1 -(1/4)^2) = 15

  H(0) = 16

Then the fourth step is to add up the stringer lengths, rounding the result as required.

  7 +12 +15 +16 +15 +12 +7 = 16 + 2(34) = 84 . . . . feet (no rounding needed)

Finally, you need to answer the question asked:

  The sum of vertical stringer lengths is 84 feet.

5 0
3 years ago
99PTS!!!!!!!
Ostrovityanka [42]

h(x) = 3^x – 2 will be negative  when x is less than 0

h(2) =7

g(2)=7

This is the point they are equal

g(x)> h(x) until2

g(x)>=h(x) -2<=x<=2

Choice A

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3 years ago
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