Question

Myra has a remote control toy boat.she runs the toy boat on a lake at a constant speed. The graph of a function representing the toy boats distance, y , in feet , from the shore of the lake after X seconds includes the points (1,8) and (1.5, 10.1)

Answer 1

Given

the constant speed.

the points 1 (1,8)

Point 2 (1.5, 10.1) ​

Procedure

y=mx+b

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ m=(8-10.1)/(1-1.5) \\ m=(-2.1)/(-0.5)=4.2 \end{gathered}`
`\begin{gathered} y=mx+b \\ 8=4.2(1)+b \\ 8-4.2=b \\ 3.8=b \end{gathered}`

the equation is: y=4.2x+3.8

The statements that are true are:

B. The rate of the change of the function is 4.2

D. The toy boat's speed on the lake is 4.2 feet per second

E. the toy boat is originally 3.8 feet from the shore of the lake