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Sonja [21]
3 years ago
9

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $24 monthly fee

and charges an
additional $0.15 for each minute of calls. The second plan has no monthly fee but charges S0.19 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?
Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

600 minutes

Step-by-step explanation:

If we write both situations as an equation, we get:

y1 = 24 + 0.15x

<em>y1 </em><em>:</em><em> </em><em>total </em><em>cost </em><em>paid </em><em>in </em><em>first </em><em>plan</em>

<em>x </em><em>:</em><em> </em><em>total minutes </em><em>of </em><em>calls</em>

y2 = 0.19x

<em>y2 </em><em>:</em><em> </em><em>total </em><em>cost </em><em>in </em><em>second </em><em>plan</em>

<em>x:</em><em> </em><em>total </em><em>min</em><em>utes </em><em>of </em><em>call</em>

We are now looking for the situation where the total cost in the two plans is equal, so

y1 = y2

this gives

24 + 0.15x = 0.19x

<=> 0.04x = 24

<=> x = 600

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