The cost, c(x) in dollars per hour of running a trolley at an amusement park is modelled by the function c(x) = 2.1x {}^(2) - 12.7x + 167.4Where x is the speed in kilometres per…

Question

The cost, c(x) in dollars per hour of running a trolley at an amusement park is modelled by the function
`c(x) = 2.1x {}^(2) - 12.7x + 167.4`Where x is the speed in kilometres per hour. At what approximate speed should the trolley travel to achieve minimum cost? A. About 2km/h B about 3km/h C about 4km/D about 5km/hr

Answer 1

The equation is modelled by the function,

c(x) = 2.1x^2 - 12.7x + 167.4

The general form of a quadratic equation is expressed as

ax^2 + bx + c

The given function is quadratic and the graph would be a parabola which opens upwards because the value of a is positive

Since x represents the speed, the speed at which the he