lorenzo works as a host at a restaurant, where he earns $15.50 per hour. he also receives a fixed amount…

lorenzo works as a host at a restaurant, where he earns $15.50 per hour. he also receives a fixed amount every week as a bonus for working the late shift. last week, he worked 20 hours and earned $340 in total. what is the total amount lorenzo will earn this week if he works 25 hours? $355 $387.50 $417.50 $650

lorenzo works as a host at a restaurant, where he earns $15.50 per hour. he also receives a fixed amount every week as a bonus for working the late shift. last week, he worked 20 hours and earned $340 in total. what is the total amount lorenzo will earn this week if he works 25 hours? $355 $387.50 $417.50 $650

Answer

Explanation:

Step1: Calculate the bonus amount

Let the bonus be (x). The equation for last - week's earnings is (15.5\times20 + x=340). First, calculate (15.5\times20=$310). Then, substitute into the equation: (310 + x = 340). Solve for (x): (x=340 - 310=$30).

Step2: Calculate this - week's earnings

This week, he works (25) hours. His earnings from hours worked is (15.5\times25). Using the formula (a\times(b + c)=a\times b+a\times c), (15.5\times25=(15 + 0.5)\times25=15\times25+0.5\times25 = 375+12.5=$387.5). Add the bonus: (387.5+30=$417.5).

Answer:

($417.50)