Question

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

Answer 1

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

Answer 2

Option b

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
`C(t) = 0.37+0.08(t-1)`

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

for t minutes company Y charges

`C(t) = 0.52+0.14(t-1)`

If 5 dollar is spent, then for company A

t =
`(5-0.37)/(0.08)+1 =58.875` minutes

For company B, for same 5 dollars,

t =
`(5-0.52)/(0.14) =33`

Company x gives about 26 minutes more

Option b