Lisa wants to buy a phone card for $5. Company X charges $0.37 for the first minute and $0.08 for each additional minute. Company Y charges $0.52 for the first minute and $0.14 for each additional minute. If Lisa makes just one call, which phone company gives her more minutes for $5? How many more minutes?

a.
Company Y; about 29 minutes
c.
Company X; about 26 minutes
b.
Company X; about 29 minutes
d.
Company Y; about 26 minutes

Respuesta :

B: Company X; about 26 minutes. Hope it helped :D

Answer:

Option b

Step-by-step explanation:

Given that Lisa wants to buy a phone card for $5.

Company X charges $0.37 for the first minute and $0.08 for each additional minute.

ie. for t minutes charges are [tex]C(t) = 0.37+0.08(t-1)[/tex]

Company Y charges $0.52 for the first minute and $0.14 for each additional minute.

for t minutes company Y charges

[tex]C(t) = 0.52+0.14(t-1)[/tex]

If 5 dollar is spent, then for company A

t = [tex]\frac{5-0.37}{0.08}+1 =58.875[/tex] minutes

For company B, for same 5 dollars,

t =[tex]\frac{5-0.52}{0.14} =33[/tex]

Company x gives about 26 minutes more

Option b