Ahomeowner is cleaning the sidewalk in front of his house. the sidewalk is 45 ft long. he cleans it at a rate of 6 ft/h.

which sketch represents that situation?

4th sketch represents the situation correctly.

Step-by-step explanation:

Given:

Length of sidewalk = 45 ft

Rate of cleaning = 6 ft/hr

From the given data we can conclude the following.

1) As rate is given in 'ft/hr' we can say that the y-axis represents the length of sidewalk being cleaned and x-axis represents the time elapsed.

2) The y-intercept of the line must be as the cleaner starts cleaning the 45 ft long sidewalk and this decreases as he continues cleaning.

3) The rate of cleaning tells us about the slope of the line. The slope of the line must be =-6 as the length of the uncleaned sidewalk decreases at the rate of 6 ft/hr.

The 4th sketch represents the situation correctly as:

a) it has a y-intercept of

b) it has a slope=-6  [Using the two points on the sketch we find the slope using slope formula.

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336