Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
1 answer:
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<u><em>≡ We know that:</em></u>
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<u><em>≡ Solution:</em></u>
⇒![\sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%5D%7D%20)
⇒![\sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%283-%28-4%29%29%5E%7B2%7D%2B%28-1-%28-5%29%29%5E%7B2%7D%5D%7D%20)
⇒![\sqrt{[7^{2}+4^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B7%5E%7B2%7D%2B4%5E%7B2%7D%5D%7D%20)
⇒![\sqrt{[49+16]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B49%2B16%5D%7D%20)
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<u><em>≡ Solution:</em></u>
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We have been given the equation
It represents the number of people standing to catch a commuter train x hours after 5 A.M.
Now, in order to find the number of people in line at 7 a.m. , we need to substitute x= 2 in the above equation.
Therefore, the number of people in the line at 7 a.m. is 40
D id the correct option.