Viola has a part time job in which she is paid an hourly basis for every hour up through 40 hours. For each hour after 40 hours, she gets paid 60% higher than her hourly wage. This past week, she earned a total of $644.80 for working 46 hours. What is violas regulat hourly wage?

Answer: her regular hourly age is $13

Step-by-step explanation:

Let x represent her regular hourly age.

Viola has a part time job in which she is paid an hourly basis for every hour up through 40 hours. This means that the amount she earns in the first 40 hours is 40x.

For each hour after 40 hours, she gets paid 60% higher than her hourly wage. 60% of x is 0.6x. The amount she earns per hour after 40 hours is x + 0.6x = 1.6x

This past week, she earned a total of $644.80 for working 46 hours. Therefore, the expression would be

40x + 6 * 1.6x = 644.80

40x + 9.6x = 644.80

49.6x = 644.80

x = 644.80/49.6

x = 13

15.5

Step-by-step explanation:

for every hour we can say that the wage is x

hence we can create an equation:

40x + 160%*x = 644.80

now solve for x

40x + 1.6x = 644.8

41.6x = 644.8

x = 15.5

hourly wage is 15.5