The answer is <span>A.) F(x) = 10(2.5)^x</span><span>.
</span>Since our base (2.5) is greater than 1, our graph would be increasing, hence it matches the given graph (it increases to the right, or towards quadrant I). Now all we need to do is solve for the y-intercept:
F(x) = 10(2.5)^x
F(0) = 10(2.5)^0 [substitute 0 in for x]
F(0) = 10(1) [any number raised to 0 would always equal 1]
y-intercept: 10
Now does it match the graph? <span><em>Yes, it does.</em>
</span>
Thus, our exponential function for this graph would be F(x) = 10(2.5)^x.
<em /><u>Tip for life</u>: When solving for the y-intercept of exponential functions, our y-intercept is always the number in front of the base (in this case, <u /><u><em>10</em></u>(2.5)^x).
<em>Hope this helps.</em>
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Answer:
Step-by-step explanation:
The first step is to add -5 to both sides:
The next step is to divide 3 on both sides:
Answer:
10.846 hours
Step-by-step explanation:
first you add all the calories= 1410 calories
then you divide 1410 calories by 130 (the calories you can burn in one hour)
your answer is 10.846 which means that it takes 10.846 hours to consume 1410 calories.
