Answer:
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
Step-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 dog
Money 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 x
Money 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
