Question

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

Answer 1

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 2

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

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:

`36 + 3x`

Cost of company B after x minutes:

`6x`

Equating the two equations:

`36 + 3x = 6x\\6x-3x =36\\3x =36\\x=12`

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