mia's weekly income varies directly with the number lawns she mows. If she earns $143.50 mowing 7 lawns , how much will she earn
2 answers:
Answer: $ 205
Step-by-step explanation:
Let x be the amount (in dollars) of money she will earn by mowing 10 lawns.
Given : Mia's weekly income varies directly with the number lawns she mows.
She earns $143.50 mowing 7 lawns .
Then by using proportionality , we have
Hence, she will earn $ 205 if she mows 10 lawns.
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Attached is a drawing to set up the problem, hopefully that helps.
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially
dR can be found by using Law of cosines
dw is arc length, which is just radius*arc
next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate
Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially
dR can be found by using Law of cosines
dw is arc length, which is just radius*arc
next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate
Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.