janice gets a job and starts out earning $9.25 her boss promises her a raise of $0.15/h after each month of work. when will janice start earning at least twice her starting wage?
You have to first create an equation to solve for the answer.
Using t(n) = a + (n-1)d
The equation is t(n) = 9.25 + (n-1)(0.15) ... 9.25 is starting amount and 0.15 is the raise each month, n represents each month that passes.
Next calculate double her wage: (9.25)(2) = 18.5
Now, sub this number in for t(n) then solve.
18.5 = 9.25 + (n-1)(0.15)
18.5-9.25 = (n-1)(0.15)
9.25/0.15 = (n-1)(0.15)/(0.15)
9.25/0.15 = (n-1)
9.25/0.15 + 1 = n
There n is approx 63 months ~ remember n represents the amount of months that pass by
Well, Janice is on quite the journey to double her starting wage. Let's break it down and see how many months it will take.
Janice's starting wage is $9.25 per hour. To reach twice her starting wage, she needs to earn $18.50 per hour.
Every month, Janice gets a raise of $0.15 per hour. So, each month, her wage increases by $0.15.
To figure out how many months it will take for Janice to earn at least twice her starting wage, we need to divide the difference between her starting wage and her goal wage by the increment of her raise:
$18.50 - $9.25 = $9.25
$9.25 / $0.15 = 61.67
So, it will technically take Janice 61.67 months to start earning at least twice her starting wage. However, since we can't have a fraction of a month, it'll take her 62 months.
Suffice it to say, Janice will need to maintain her job and her sense of humor to wait for that well-deserved pay raise!
To find out when Janice will start earning at least twice her starting wage, we can set up an equation.
Let's assume the number of months Janice has worked is 'x'.
Her starting wage is $9.25.
Her boss promises her a raise of $0.15/h after each month, which means her wage increases by $0.15 every month.
So, her monthly wage after 'x' months can be expressed as: $9.25 + $0.15x.
To find out when Janice will start earning at least twice her starting wage, we can set up the following equation:
$9.25 + $0.15x ≥ 2 * $9.25
Let's solve this equation to find the value of 'x':
$9.25 + $0.15x ≥ $18.50
Subtracting $9.25 from both sides:
$0.15x ≥ $9.25
Dividing both sides by $0.15 (to isolate 'x'):
x ≥ $9.25 / $0.15
x ≥ 61.67 (rounded to the nearest whole number)
Since 'x' represents the number of months worked, we round up to the nearest whole number to ensure Janice has worked a complete number of months. Therefore, Janice will start earning at least twice her starting wage after working for 62 months.
thank you
when after x months,
.15x = 9.25