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Ivenika [448]
3 years ago
6

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan

costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?
Mathematics
2 answers:
Mkey [24]3 years ago
3 0

Answer:

The prepaid phone plan will have a steeper line and lower y-intercept.

I hope this is right

Step-by-step explanation:

prepaid phone plan y = .20x

contracted phone plan y = .02x + 50

ollegr [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

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topjm [15]

Answer:

The expression is given as:

H(t)=C(t)\times F(t)=240\times 3^t.

Step-by-step explanation:

Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:

C( t ) = 30\times (2)^t

Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function

F( t ) =8\times (1.5)^t

Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.

Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.

i.e. H(t)=C(t)×F(t)

H(t)=30\times 8\times (2)^t\times (1.5)^t

and we know that a^x\times b^x=(a\times b)^x=(ab)^x

Hence,H(t)=240\times (2\times 1.5)^t\\\\H(t)=240\times 3^t.

Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:

H(t)=C(t)\times F(t)=240\times 3^t.


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