Given:
Connor runs at a constant rate.
It takes him 34 minutes to run 4 miles.
To find:
The linear equation in two variables that represents the given situation.
Solution:
Let y be the distance covered by Connor in miles and x be the time in minutes.
It is given that Connor needs 34 minutes to run 4 miles. So, the linear equation passes through the point (34,4,) and the rate of change is:
![m=\dfrac{Distance}{Time}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BDistance%7D%7BTime%7D)
![m=\dfrac{4}{34}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4%7D%7B34%7D)
Using the point slope, the equation of the linear function is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![y-4=\dfrac{4}{34}(x-34)](https://tex.z-dn.net/?f=y-4%3D%5Cdfrac%7B4%7D%7B34%7D%28x-34%29)
![y-4=\dfrac{4}{34}x-4](https://tex.z-dn.net/?f=y-4%3D%5Cdfrac%7B4%7D%7B34%7Dx-4)
![y=\dfrac{4}{34}x](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B34%7Dx)
Therefore, the correct option is D, i.e.,
.
Answer: 58.667 fps
Step-by-step explanation: Have a brilliant day of learning!-Lily ^-^
Answer: 4/15
Step-by-step explanation:
Make the denominators equal first including the numerators. So, the common factor is 15. So 2/3 turns into 10/15 and 2/5 turns into 6/15. Now subtract. 10/15-6/15 is 4/15
Well this one is very simple. It seems to give 1 lb per 4 dollars spent. So, the best way to state this mathematically is x=4y or x=4×y.