James, Gilbert, Matthew, and Simon ran in a relay race. Their times are listed in the chart below. Student James Gilbert Matthew
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
Answer: 410 square km
Step-by-step explanation:
The area of each of the triangles with their base on the 10 km side is , so their combined area is
.
The area of each of the triangles with their base on the 12 km side is , so their combined area is
.
The area of the bottom rectangular face is .
So, the total surface area is