Question

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Answer 1

Based on the given table, first, we have to find the slope using the points (1,23) and (2,46).

$m=\frac{y_2-y_1}{x_2-x_1_{}}=\frac{46-23}{2-1}=\frac{23}{1}=23$

Then, we use the point-slope formula to find the equation

$\begin{gathered} y-y_1=m(x-x_1) \\ y-23=23(x-1) \\ y=23x-23+23 \\ y=23x \end{gathered}$

Hence, the equation is d = 23s. (PART A).

To find the distance traveled in 1 minute, we have to replace s = 60 because there are 60 seconds in 1 minute.

$d=23s=23\cdot60=1,380$

Hence, it can travel 1,380 feet in 1 minute. (PART B)