The cost of a long distance call is $0.31 for the 1st minute and $0.24 for each additional
minute. How long can you talk without spending more than $5? (Write and solve an
equation.)
What don't you understand about my answer of a few minutes ago?
m would be in minutes right?
because the answer I got was 19.541666...
0.31 + 0.24m ≤ 5
0.24m ≤ 4.69
m = 19.54 = 19 minutes
To find out how long you can talk without spending more than $5, we need to set up an equation.
Let's assume the time in minutes that you can talk is 't'.
For the first minute, the cost is $0.31.
For the remaining minutes, the cost is $(t - 1) * $0.24, as you are charged $0.24 for each additional minute after the first minute.
The total cost can be represented as the sum of the cost for the first minute and the cost for the remaining minutes, and it should not exceed $5:
$0.31 + (t - 1) * $0.24 ≤ $5
Now, let's solve this equation to find the maximum value of 't' that satisfies the condition.
First, we can simplify the equation:
$0.31 + $0.24t - $0.24 ≤ $5
$0.24t + $0.07 ≤ $5
Next, subtract $0.07 from both sides:
$0.24t ≤ $4.93
Finally, divide both sides by $0.24 to isolate 't':
t ≤ $4.93 / $0.24
Calculating this division gives us:
t ≤ 20.54
Since we're dealing with minutes, we should round down to the nearest whole number. Therefore, you can talk for a maximum of 20 minutes without spending more than $5.