In one hour, the distance, d(s), in kilometers that a ferry can travel up and down a river flowing with a constant speed, s, in meters per second is:d(s)=10.7−1.2s2where s and d(s) are positive. Which of the following equivalent expressions for d(s) contains the speed of the river in meters per second, as a constant or coefficient, for which the ferry can travel a distance of 8 kilometers in one hour?Choose 1 answer:(A) 8−1.2(s−1.5)(s+1.5(B) 8+1.2(2.25−s2)(C) 8(1−0.15s2)+2.7(D) 11.9−1.2(s−1)2−2.4
Q. In one hour, the distance, d(s), in kilometers that a ferry can travel up and down a river flowing with a constant speed, s, in meters per second is:d(s)=10.7−1.2s2where s and d(s) are positive. Which of the following equivalent expressions for d(s) contains the speed of the river in meters per second, as a constant or coefficient, for which the ferry can travel a distance of 8 kilometers in one hour?Choose 1 answer:(A) 8−1.2(s−1.5)(s+1.5(B) 8+1.2(2.25−s2)(C) 8(1−0.15s2)+2.7(D) 11.9−1.2(s−1)2−2.4
Given Equation: We are given the original equation for the distance d(s) that the ferry can travel in one hour: d(s)=10.7−1.2s2 We need to find an equivalent expression that results in d(s) being equal to 8 kilometers.
Set Equal to 8 Kilometers: First, let's set the given equation equal to 8 kilometers to find the expression that will give us the speed of the river:8=10.7−1.2s2
Solve for s2: Now, we need to solve for s2 in the equation:1.2s2=10.7−8s2=1.210.7−8s2=1.22.7s2=2.25
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