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bulgar [2K]
3 years ago
11

Ryan and Sarah are looking at cell phone plans. A group plan will cost $120.95 per month. An individual plan will cost $62.77 pe

r month. Should Ryan and Sarah purchase a group plant or two individual plans? Justify your answer. How much money could they save?
Mathematics
2 answers:
atroni [7]3 years ago
5 0
A group plan because on that one they will pay 120.95 and in a individual plan they will pay 125.54 so in a group plan you pay 4.59 dollars less so thats why a group plan is the best option
Lelechka [254]3 years ago
4 0
This is easy
each month they either pay
120.95 per month for 2 people
or
62.77 per month per person or 62.77 time 2 people

so find which is greater: 120.95 or 62.77 times 2

find 62.77 times 2
we find that it is 125.54

125.54 is greater than 120.95
therefor it is less cost to buy a group plan
the could save 125.54-120.95=4.59


answers:
group plan
save $4.59
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Answer:  1.25n

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Explanation:

Erica sells bracelets for $2 each. If she makes and sells n of them, then she gets 2n dollars of revenue.

Making n bracelets cost her a total of 0.75n dollars because each bracelet costs 0.75 dollars, or 75 cents.

Subtract the revenue and cost to get the profit

profit = revenue - cost

profit = 2n - 0.75n

profit = (2-0.75)n

profit = 1.25n

The expression 1.25n means that she earns $1.25 in profit per bracelet sold.

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Answer:

a) There's a zero between [1,2]

b) There's a zero between [1.5,2]

c) There's a zero between  [1.5,1.75].

Step-by-step explanation:

We have f(x)=3^x-x^4

A)We need to show that f(x) has a zero in the interval [1, 2]. We have to see if the function f is continuous with f(1) and f(2).

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(2)=3^2-(2)^4=9-16=(-7)

We can see that f(1) and f(2) have opposite signs. And f(1)>f(2) and the function is continuous, this means that exists a real number c between the interval [1,2] where f(c)=0.

B)We have to repeat the same steps of A)

For the subinterval [1,1.5]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1) and f(1.5) have the same signs, this means there's no zero in the subinterval [1,1.5].

For the subinterval [1.5,2]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.5) and f(2) have opposite signs, this means there's a zero between the subinterval [1.5,2].

C)We have to repeat the same steps of A)

For the subinterval [1,1.25]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5

f(1) and f(1.25) have the same signs, this means there's no zero in the subinterval [1,1.25].

For the subinterval [1.25,1.5]:

f(x)=3^x-x^4\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1.25) and f(1.5) have the same signs, this means there's no zero in the subinterval [1.25,1.5].

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f(1.5) and f(1.75) have opposite signs, this means there's a zero between the subinterval [1.5,1.75].

For the subinterval [1.75,2]:

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f(1.75) and f(2) have the same signs, this means there isn't a zero between the subinterval [1.75,2].

The graph of the function shows that the answers are correct.

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