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finlep [7]
2 years ago
10

The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the

phone is used each month.
Minutes 500 750 1,000 1,250 1,500
Total Monthly Cost (in dollars) $62 $77 $92 $107 $122
The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
5 0

Answer:

$310.00 is the monthly payment if the phone was used for a total of 2,500 minutes.

Step-by-step explanation:

Since 500 minutes gets $62.00, we can multiply both to get 2,500 minutes, and $310.00.

<h2><u>Hope This Helped!</u></h2>
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sertanlavr [38]

Answer:

Step-by-step explanation:

Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

2x+5y = 10z

Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation

2x+5(x-1) = 10z

which is equivalent to

7x-5 = 10z

If we add 5 on both sides and factor out on the right by 5 we get

7x = 5(2z+1)

We can solve for x and get

x = \frac{5(2z+1)}{7}

Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.

If that is the case, then

x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem

7 0
3 years ago
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 20 in. by cu
d1i1m1o1n [39]
VOLUME IS L × W × H

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7 0
2 years ago
In a lab experiment, 3100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to do
timama [110]
2,862 bacteria

6,200/26 = x/12
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4 0
3 years ago
Find the sum of: 72 − 104 + 5 and -32 + 4 - 10. What should be added to 32 + 32 + 3 to get 3 + 3 ? (1 mark) 3. Subtract the sum
Rzqust [24]

Answer:

a). -65

b). -61

c). -20ab + 3bc +3ac

Step-by-step explanation:

According To the Question,

a). the sum of 72 − 104 + 5 and -32 + 4 - 10 .

  • (72 − 104 + 5) + (-32 + 4 - 10)
  • (-27) + (-38)
  • -27 - 38
  • -65

b). What should be added to 32 + 32 + 3 to get 3 + 3 , Let X be Added .

  • Thus,  (32 + 32 + 3) + X = 3 + 3
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  • X = 6 - 67
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c). Subtract  the sum of 12ab –10bc –18ac and 9ab + 12bc + 14ac from the sum of ab + 2bc and 3bc – ac.

  • Thus, [(ab + 2bc) + (3bc – ac)] - [( 12ab –10bc –18ac) + (9ab + 12bc + 14ac)]
  • (ab + 5bc - ac) - (21ab + 2bc - 4ac)
  • ab + 5bc - ac - 21ab - 2bc + 4ac
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5 0
3 years ago
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Amanda [17]

Answer:

4 hours

Step-by-step explanation:

$50 - $14 = $36

36 / 9 = 4

5 0
3 years ago
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