Aman launches his boat from point a on a bank of a straight river, 4 km wide, and wants to reach point b, 4 km downstream on the opposite bank, as quickly as possible (see the figure below). he could row his boat directly across the river to point c and then run to b, or he could row directly to b, or he could row to some point d between c and b and then run to b. if he can row 6 km/h and run 8 km/h, where should he land to reach b as soon as possible? (we assume that the speed of the water is negligible compared to the speed at which the man rows.)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .