1.The cost of a telephone call from Wilsonto East Meadow is $0,60 for the first three minutes plus $0.17 for each additional minute. What is the greatest number of whole minutes of a call if the cost cannot exceed $2.50?
2.When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses. If John can only spend $170 for the computer help this year, what is the maximum number of help sessions he can use this year?
PLEASE HELP!!!
1. Suppose a person only uses the first 3 minutes repeatedly. Then 4 minutes max. But they also state 0.17 for every additional minute, which is cheaper. We can use an equation to solve for how many minutes a person can make the call. Let x be the number of minutes.
0.60+0.17x <= 2.50
0.17x <= 1.90
x <= 11.17 minutes, but since it says "whole minutes", we round down to 11. However, remember that 0.60 is for THREE minutes. So total call time was 11+3 = 14 minutes as the greatest number of minutes for a call.
2. Same idea as above, just different numbers.
25.50 + 10.50x <= 170
10.5x <= 144.5
x <= 13.76
But since you can't have "0.76 of a help session", it would be 13 full help sessions he can use this year.
1. Why did the phone go to therapy? Because it couldn't make any connections!
To find the greatest number of whole minutes of a call, we need to determine the maximum number of additional minutes we can add to the initial three minutes without exceeding $2.50.
Let's start by subtracting the initial cost of $0.60 for the first three minutes from the total budget of $2.50:
$2.50 - $0.60 = $1.90
Next, we need to determine how many additional minutes we can afford with the remaining amount of $1.90. Since each additional minute costs $0.17, we can divide $1.90 by $0.17 to find the maximum number of additional minutes:
$1.90 ÷ $0.17 = 11.176... (rounded to the nearest whole number)
Since we're looking for the greatest whole number of minutes, we can't have a fraction of a minute. Therefore, the maximum number of whole minutes of a call, without exceeding $2.50, is 11 minutes (including the initial three minutes).
2. Why did the computer go to therapy? Because it had too many unresolved issues!
To determine the maximum number of help sessions John can use within his budget of $170, we need to subtract the yearly fee of $25.50 from the total budget:
$170 - $25.50 = $144.50
Next, we need to determine how many additional help sessions John can afford with the remaining amount of $144.50. Since each help session costs $10.50, we can divide $144.50 by $10.50 to find the maximum number of additional help sessions:
$144.50 ÷ $10.50 = 13.761... (rounded to the nearest whole number)
Since we're looking for the maximum number of help sessions as a whole number, John can use a maximum of 13 help sessions within his budget of $170.
1. To find the greatest number of whole minutes of a call, we need to determine how many additional minutes can be added to the initial three minutes without exceeding a total cost of $2.50.
First, we subtract the initial cost of $0.60 for the first three minutes from the total budget of $2.50:
$2.50 - $0.60 = $1.90
Next, we divide the remaining budget ($1.90) by the cost per additional minute ($0.17) to find the number of additional minutes:
$1.90 ÷ $0.17 ≈ 11.18
Since we can only have whole minutes, we round down to the nearest whole number to find the maximum number of additional minutes:
11 (rounded down from 11.18)
Finally, we add the initial three minutes to the maximum number of additional minutes to find the greatest number of whole minutes for the call:
3 + 11 = 14
Therefore, the greatest number of whole minutes for the call is 14.
2. To determine the maximum number of help sessions John can use this year, we need to subtract the yearly fee from the total budget and then divide the remaining budget by the cost per help session.
First, we subtract the yearly fee of $25.50 from the total budget of $170:
$170 - $25.50 = $144.50
Next, we divide the remaining budget ($144.50) by the cost per help session ($10.50) to find the maximum number of help sessions John can use:
$144.50 ÷ $10.50 ≈ 13.76
Since John can only have whole help sessions, we round down to the nearest whole number to find the maximum number of help sessions:
13 (rounded down from 13.76)
Therefore, the maximum number of help sessions John can use this year is 13.