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kykrilka [37]
3 years ago
12

The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon

ey per minute used on the phone. If a customer uses 300 minutes, the monthly cost will be $131. If the customer uses 990 minutes, the monthly cost will be $372.5. A) Find the slope and explain what it means
Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

The slope is $0.35/min and it gives the cost per minute of the phone used.

Step-by-step explanation:

We can model this situation with a linear equation of the form

y =mx+b

where y is monthly cost, x is the number of minutes, b is the flat monthly fee, and m is the slope of the equation, or in our case, the amount of money charged per minute.

The slope m is

m= \dfrac{\$372.5-\$131}{990min-300min}

m = \$0.35/min,

in other words, the phone company charges $0.5 per minute.

With the slope in hand, the linear equation becomes

y =0.35x+b,

and we can find the monthly fee b from that fact that for 300 minutes the cost is $131:

\$131 = 0.35(300min) +b

b = \%26.

Therefore,

y = 0.35x+26

where the slope if the equation give the cost per minute of the phone used.

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