Please help and answer the question -Will give Brainliest
1 answer:
<h3>Part A</h3>
Each year, the number of cars in Cory's collection (c) increases by a factor of 1.2. After t years, it will be multiplied by that factor "t" times, so the number of cars will be ...
... c(t) = 15·1.2^t
Each year, the number of cars in Roger's collection (r) increases by 1. After t years, it will have increased by t.
... r(t) = 40 +t
<h3>Part B</h3>c(6) = 15·1.2^6 ≈ 44.79 ≈ 45 . . . Cory's cars after 6 years
r(6) = 40 +6 = 46 . . . Roger's cars after 6 years
<h3>Part C</h3>The number of cars is very nearly the same after 6 years. A short time into the 7th year, the number of cars will be the same. A graph shows the number of cars will be the same after about 6 years and 2 months.
There are no algebraic methods to solve the equation
... r(t) = c(t)
... 45 +t = 15·1.2^t
It can be solved by trial and error, or graphically, or by other iterative means. The solution is not an integer, but non-integer numbers of cars don't make sense. It isn't exactly clear what a solution would look like.
year 6: Cory ≈ 45 cars; Roger = 46 cars
year 7: Cory ≈ 54 cars; Roger = 47 cars
Between year 6 and year 7 (closer to the beginning of year 7), Cory will have 46 cars, about the same number Roger has at that time.
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<h2>Hello!</h2>
The answer is:
It takes Ella 3 seconds to do a push-up and 3 seconds to do a sit up.
<h2>Why?</h2>To find how many seconds Ella took to do a push-up and a sit-up we must write two equations using the given information.
Let be "x" the time needed to push-ups and "y" be the time needed to do sit-ups.
So, writing the equations we have:
First equation,
If she can do 13 push-ups and 7 sit-ups in 60 seconds, we have:
Second equation,
If she can do 13 push-ups and 19 sit-ups in 96 seconds, we have:
Now, creating a system of equations, and using the reduction method to solve it, we have:
Multiplying the first equation by -1, we have:
Then, substituting "y" into the first equation, we have:
Hence, we have that It takes Ella 3 seconds to do a push-up and 3 seconds to do a sit up.
Have a nice day!