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tatiyna
3 years ago
5

A coffeehouse charges a flat rate,r, for each hour customer wants to use the internet. Enter an equation to express the total co

st,c,to use the internet at the coffeehouse for t hours.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

c=rt is the equation to express the total cost c to use the internet at the coffeehouse for t hours.

Step-by-step explanation:

Given A coffeehouse charges a flat rate, r for each hour customer wants to use the internet. we have to write the equation to express the total cost c to use the internet at the coffeehouse for t hours.

Charges of internet per hour = r

Total hour = t hours

Hence, Cost = (Charges per hour)(Total hours)

                     =r\times t

∴ c=rt

which is the linear equation to express the total cost c to use the internet at the coffeehouse for t hours.

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Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x
yuradex [85]

The equation which represents exponential decay is y=6(1/3)^{x}

Given four equations : 1)y=3^{x} -4, 2) y=2(4)^{x}, 3) y=3^{x}/2, 4) y=6(1/3)^{x}.

Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like a^{x}.

Decay means when x value increases ,the y value decreases.

We haveto put 3 values for x in the equations to check.

1)y=3^{x} -4

put x=0,y=-3

put x=1, y=-1

put x=2, y=5

No,itdoes not represents exponential decay.

2) y=24^{x}

put x=0,y=2

put x=1, y=8

put x=2, y=32

No,it does not represents exponential decay.

3) y=3^{x}/2

put x=0,y=0.5

put x=1, y=1.5

put x=2, y=4.5

No,it does not represents exponential decay.

4)y=6(1/3)^{x}

put x=0,y=6

put x=1, y=2

put x=2, y=0.67

Yes ,it represents exponential decay.

Hence the equation which represents exponential decay is y=6(1/3)^{x}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

4 0
1 year ago
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