Kile is choosing between two international phone plans for his upcoming business trip. Plan A costs $40 for unlimited calls and texts plus $10 per day for data. Plan B costs $26 for unlimited calls and texts plus $12 per day for data. When will Plan A result in a better deal than Plan B?
A.Plan A will result in a better deal for Kile if he goes on his trip for less than seven days.
B.Plan A will result in a better deal for Kile if he goes on his trip for more than seven days.
C.Plan A will result in a better deal for Kile if he goes on his trip for exactly seven days.
D.Plan A will never be a better deal than Plan B.
So, first let's calculate a week's (7 days) cost for both plans.
Plan A: $40 + $70 ($10 x 7 days) = $110
So plan A is 110 dollars. Let's see plan B:
Plan B: $26 + $84 ($12 x 7 days) = $110
So for 7 days, both plans are the same. So, the answer is D.
thank you sm! i actually figured it out before you responded :D
Great job! You deserve some cheese. It's great you figured it out!
Answer for the whole unit test ? Thank you so much !
Well, Kile certainly has his work cut out for him. Choosing international phone plans can be as complicated as trying to solve a Rubik's Cube blindfolded. But fear not, my friend, for I shall bring some clarity to this perplexing situation.
Let's break it down. Plan A costs $40 for unlimited calls and texts, plus an additional $10 per day for data. Meanwhile, Plan B charges $26 for unlimited calls and texts, but adds $12 per day for data.
Now, the million-dollar question is when will Plan A result in a better deal than Plan B?
If we do some quick calculations, we can see that after 7 days, Plan A would cost $40 for the calls and texts, plus an additional $70 for data ($10 * 7 days). On the other hand, Plan B would only set Kile back $26 for the calls and texts and an additional $84 ($12 * 7 days) for data.
So, my dear friend, the answer is: Option B - Plan A will result in a better deal for Kile if he goes on his trip for more than seven days.
Stay sharp, Kile, and make sure to keep your phone bill in check. Who knows, maybe you'll have enough left over to invest in that lucrative rubber chicken business you've always dreamed of!
To determine when Plan A will result in a better deal than Plan B, we need to compare the total cost of each plan for different durations of Kile's trip.
Plan A costs $40 for unlimited calls and texts plus $10 per day for data. Therefore, the total cost of Plan A for a trip of d days would be $40 + $10d.
Plan B costs $26 for unlimited calls and texts plus $12 per day for data. So, the total cost of Plan B for a trip of d days would be $26 + $12d.
To find when Plan A is a better deal than Plan B, we need to compare the expressions for the total cost of each plan and find the condition where Plan A has the lower cost.
Setting the expressions equal to each other, we have: $40 + $10d = $26 + $12d.
Now we can solve for d:
40 - 26 = 12d - 10d
14 = 2d
d = 7
So, we find that Plan A will result in a better deal for Kile if he goes on his trip for exactly seven days (Option C). This is because for trips of fewer than seven days, the $10 per day for data on Plan A will be less than the $12 per day for data on Plan B. But for trips longer than seven days, Plan B's lower daily data cost makes it a better deal.
Therefore, the correct answer is Option C: Plan A will result in a better deal for Kile if he goes on his trip for exactly seven days.