Question

norwalk hourly minimum wage- w=10.20+0.38*tMadison hourly minimum wage w= 10.50+(0.031)tif both cities continue to give raises as above, will norwalk or Madison reach an hourly minimum wage of at least $25.25 first? you may use algebra our Trail- and-error to determine your solution but my show your problem solving process in detail.

Answer 1

In order to find out which one will reach an hourly minimum wage of at least $25.25 first, we need to find how much time t each one will take to reach that value.

So, we can replace w by 25.25 to find t:

• Norwalk:

25.25 = 10.20 + 0.38 * t

25.25 - 10.20 = 10.20 + 0.38t - 10.20

15.05 = 0.38t

15.05/0.38 = 0.38t/0.38

t ≅ 39.61

• Madison

25.25 = 10.50 + 0.031t

25.25 - 10.50 = 10.50 + 0.031t - 10.50

14.75 = 0.031t

0.031t /0.031= 14.75/0.031

t ≅ 475.81

Since Norwalk needs less time to reach the value of $25.25, Norwalk will reach it first.

Therefore, Norwalk will reach an hourly minimum wage of at least $25.25 first.