MATH SOLVE

2 months ago

Q:
# Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 15 total hours and must earn at least $160. If Katherine worked 2 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.

Accepted Solution

A:

Answer:Katherine need to work minimum 10 hours lifeguarding to meet her requirementsStep-by-step explanation:Given:Rate for Lifeguarding = [tex]$16\ per\ hour[/tex]Rate for walking dogs = [tex]$6 \ per\ hour[/tex]She had worked 2 hours walking dogMoney for walking dogs = Rate for walking dogs[tex]\times[/tex] hours worked=[tex]\$6\times2=\$12[/tex]she can work a maximum of 15 total hours and must earn at least $160.Let hours required for lifeguarding be xMoney for life guarding = Rate for walking dogs[tex]\times[/tex] hours worked for lifrguarding= [tex]\$16 \timesx=16x[/tex]Total Money she must earn = Money for lifeguarding + Money for walking dogs [tex]16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours[/tex]Rounding to nearest hour Katherine need to work minimum 10 hours lifeguarding to meet her requirements