3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct?
1 answer:
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Answer:
Step-by-step explanation:
exponential function :
where a = y intercept and b = factor ( what you multiply by )
looking at the table the y intercept is at (0,10) so a = 10
so we now have y = 10 * (b)^x
to find the factor we simply plug in one of the ordered pairs.
note that the ordered pair chosen does not effect the outcome
i chose (2,250)
we have y = 10 * (b)^x
(x,y) = (2,250)
250 = 10 * (b)^2
divide both sides by 10
25 = b^2
take the square root of both sides
5 = b
the final equation would be f(x) = 10 * (b)^x
To solve this problem you must apply the proccedure shown below:
1. The formula for calculate the perimeter of a rectangle is:
Where is the length and
is the width.
2. The length is more than the width, therefore:
3. Substitute values into the formula for calculate the perimeter and solve for the width:
3. Then, the length is:
The answer is: The length is and the width is