the table below shows the difference between costs of two different cell phone companies. company a: $34.99…

the table below shows the difference between costs of two different cell phone companies. company a: $34.99 per month for 700 minutes, $0.45 for each extra minute. company b: $52.49 service fee, $0.10 per minute used. if carlos and sergio use the same number of minutes and paid the same price, which of the following equations could be used to find m, the number of minutes used? a 34.99 + 0.45(700 + m)=52.49 + 0.1m b 34.99 + 0.45(m - 700)=52.49 + 0.1m c 52.49 + 0.45m = 34.99 + 0.1(700 + m) d 34.99 + 0.45m = 52.49 + 0.1m

the table below shows the difference between costs of two different cell phone companies. company a: $34.99 per month for 700 minutes, $0.45 for each extra minute. company b: $52.49 service fee, $0.10 per minute used. if carlos and sergio use the same number of minutes and paid the same price, which of the following equations could be used to find m, the number of minutes used? a 34.99 + 0.45(700 + m)=52.49 + 0.1m b 34.99 + 0.45(m - 700)=52.49 + 0.1m c 52.49 + 0.45m = 34.99 + 0.1(700 + m) d 34.99 + 0.45m = 52.49 + 0.1m

Answer

Explanation:

Step1: Analyze Company A's cost

For Company A, the base - rate is $34.99 for 700 minutes. If the number of minutes used is $m$, and $m>700$, the number of extra minutes is $m - 700$. The cost function for Company A is $C_A=34.99+0.45(m - 700)$ when $m>700$.

Step2: Analyze Company B's cost

For Company B, the service fee is $52.49 and the cost per minute is $0.10. So the cost function for Company B is $C_B = 52.49+0.1m$.

Step3: Set the two cost functions equal

Since the two costs are equal, we set $C_A=C_B$. So the equation is $34.99+0.45(m - 700)=52.49+0.1m$.

Answer:

B. $34.99 + 0.45(m - 700)=52.49+0.1m$