Answer :
Answer:
The equation for the number of additional hours her lesson lasted is [tex]75+50x=325[/tex].
Sarah lesson of surfing lasted for additional of 5 hours.
Step-by-step explanation:
Given:
Initial charge for 1 hour = $75
Total charge on Saturday = $325
Additional hourly charge = $50
We need to write the equation for the number of additional hours her lesson lasted.
Solution.
Let number of additional hours her lesson lasted be 'x'.
So we can say that;
Total charge on Saturday is equal to Initial charge for 1 hour plus Additional hourly charge multiplied by number of additional hours her lesson lasted.
framing in equation form we get;
[tex]75+50x=325[/tex]
Hence the equation for the number of additional hours her lesson lasted is [tex]75+50x=325[/tex].
On Solving the above equation we get;
Subtracting both side by 75 we get;
[tex]75+50x-75=325-75\\\\50x=250[/tex]
Dividing both side by 50 we get;
[tex]\frac{50x}{50}=\frac{250}{50}\\\\x=5\ hrs[/tex]
Hence Sarah lesson of surfing lasted for additional of 5 hours.