(a)

Write the linear equation that relates $\"\"$ and $\"\"$ .

Line equation in slope-intercept form $\"\"$ , where $\"\"$ is slope and $\"\"$ is $\"\"$ -intercept.

The ramp drops $\"\"$ inches for every $\"\"$ -inch run.

$\"\"$

$\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$ .

(b)

$\"\"$ -intercept of the equation $\"\"$ ;

Find the $\"\"$ -intercept by substituting $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$ -intercept is represent the ramp meets the floor 375 in or 31.25ft from the base of the platform.

(c)

The ramp meets the floor 375 in or 31.25 ft from the base of the platform.

The ramp does not meet the design requirements. It has run of 31.25 foot along.

(d)

Observe (b), the ramp is 31.25 ft long which is greater than required maximum of 30ft.

The only slope possible for the ramp to comply with the requirement is for it to drop 1 inches for every 12 inches run.

(a) The linear equation is $\"\"$ .

(b) $\"\"$ -intercept is 375 and it represents the ramp meets the floor 375 inches from the base of the platform.

(c) The ramp does not meet the design requirements. It has run of 31.25 foot along.

(d) The only slope possible for the ramp to comply with the requirement is for it to drop 1 inch for every 12 inches run.