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Over [174]
3 years ago
5

Viet has a job mowing lawns. He earns $25 for each lawns he mowed. On Saturday, he mowed 5 lawns. On Sunday, he forgot how many

lawns he mowed. He earned $300 for the two days. Viet wants to find how many lawns he mowed on Sunday. Set up and solve and equation which would provide Viet with the correct answer.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
You would do 25x5 and it is 125 so now you would subtract 300 from 125 and it would be 275
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Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


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