Phone plan A charges $1.25 for the first minute and $0.15

This topic has expert replies
Moderator
Posts: 2237
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Manhattan Prep

Phone plan A charges $1.25 for the first minute and $0.15 for every minute thereafter. Phone plan B charges a $0.90 connection fee and $0.20 per minute. Which of the following equations could be used to find the length, in minutes, of a phone call that costs the same under either plan?

A. 1.25 + 0.15x = 0.90x + 0.20
B. 1.25 + 0.15x = 0.90 + 0.20x
C. 1.25 + 0.15(x - 1) = 0.90 + 0.20x
D. 1.25 + 0.15(x - 1) = 0.90 + 0.20(x - 1)
E. 1.25 + 0.15x + 0.90x + 0.20 = x

OA C

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Sat Feb 16, 2019 6:36 am
AAPL wrote:Manhattan Prep

Phone plan A charges $1.25 for the first minute and $0.15 for every minute thereafter. Phone plan B charges a $0.90 connection fee and $0.20 per minute. Which of the following equations could be used to find the length, in minutes, of a phone call that costs the same under either plan?

A. 1.25 + 0.15x = 0.90x + 0.20
B. 1.25 + 0.15x = 0.90 + 0.20x
C. 1.25 + 0.15(x - 1) = 0.90 + 0.20x
D. 1.25 + 0.15(x - 1) = 0.90 + 0.20(x - 1)
E. 1.25 + 0.15x + 0.90x + 0.20 = x

OA C
Phone plan A charges $1.25 for the first minute and $0.15 for every minute thereafter.
Let x = total duration of phone call (in minutes)
So, the cost of an x-minute call = $1.25 + ($0.15)(x - 1)

ASIDE: I created the expression ($0.15)(x - 1) because we pay $1.25 for the FIRST minute. So, if x = the TOTAL call time, then x-1 = the time spent AFTER the first minute)

Phone plan B charges a $0.90 connection fee and $0.20 per minute.
Let x = total duration of phone call (in minutes)
So, the cost of an x-minute call = $0.90 + ($0.20)(x)

Which of the following equations could be used to find the length, in minutes, of a phone call that costs the same under either plan?
We need: $1.25 + ($0.15)(x - 1) = $0.90 + ($0.20)(x)

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7223
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Fri Feb 22, 2019 3:17 pm
AAPL wrote:Manhattan Prep

Phone plan A charges $1.25 for the first minute and $0.15 for every minute thereafter. Phone plan B charges a $0.90 connection fee and $0.20 per minute. Which of the following equations could be used to find the length, in minutes, of a phone call that costs the same under either plan?

A. 1.25 + 0.15x = 0.90x + 0.20
B. 1.25 + 0.15x = 0.90 + 0.20x
C. 1.25 + 0.15(x - 1) = 0.90 + 0.20x
D. 1.25 + 0.15(x - 1) = 0.90 + 0.20(x - 1)
E. 1.25 + 0.15x + 0.90x + 0.20 = x

OA C

We can create the equation in which x = the number of minutes that equates the charges of the two plans. Plan A charges $1.25 for the first minute and $0.15 for the remaining (x - 1) minutes. Plan B charges a $0.90 fee and $0.20 for all x minutes of the call. Thus, the equation that equates the charges for the two plans is:

1.25 + 0.15(x - 1) = 0.9 + 0.2x

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage