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Use the table to write and solve an equation to tell you the number of minutes for which the cost of both phone companies is equal

Use the table to write and solve an equation to tell you the number of minutes for which the cost of both phone companies is equal class=

Respuesta :

texaschic101
company A : 0.36 + 0.03m
company B : 0.06m

to find out when they are equal, set them equal to each other and solve for m, the number of minutes

0.36 + 0.03m = 0.06m
0.36 = 0.06m - 0.03m
0.36 = 0.03m
0.36 / 0.03 = m
12 minutes <=== they will be the same at 12 minutes

check...
company A : 0.36 + 0.03(12) = 0.72
company B : 0.06(12) = 0.72
correct

Answer:

For 12 minutes, the cost of both companies will be equal and the cost will be 72¢.              

Step-by-step explanation:

We are given the following information:

Let x be the number of minutes where the cost of both companies is equal.

Company A charger = 36 cents and 3 cents per minute

Company B charges = 6 cents per minute

Cost of Company A after x minutes:

[tex]36 + 3x[/tex]

Cost of company B after x minutes:

[tex]6x[/tex]

Equating the two equations:

[tex]36 + 3x = 6x\\6x-3x =36\\3x =36\\x=12[/tex]

Thus, for 12 minutes, the cost of both companies will be equal and the cost will be 72¢.

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