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Handicapped Victnam veterans successfully lobbicd for improvements in the architectural standards for wheelchair access to public buildings. a. The old standard was a 1-foot rise for every 10 horizontal feet. What would the slope be for a ramp built under this standard? h. The new standard is a 1-foot rise for every 12 horizontal fect. What would the slope of a ramp be under this standard? c. If the front door is 3 feet above the ground, how long would the handicapped ramp be using the old standard? Using the new?

For each of the following, find the slope and the vertical intercept, then sketch the graph. (Hint: Find two points on the line.) a. \(y=0.4 x-20\) b. \(P=4000-200 C\)

In 1977 a math professor bought her condominium in Cambridge, Massachusetts, for \(\$ 70,000 .\) The value of the condo has risen steadily so that in 2007 real estate agents tell her the condo is now worth \(\$ 850,000\). a. Find a formula to represent these facts about the value of the condo \(V(t),\) as a function of time, \(t\). b. If she retires in 2010 , what does your formula predict her condo will be worth then?

Construct an equation and sketch the graph of its line with the given slope, \(m,\) and vertical intercept, \(b .\) (Hint: Find two points on the line.) a. \(m=2, b=-3\) b. \(m=-\frac{3}{4}, b=1\) c. \(m=0, b=50\)

Find an equation, generate a small table of solutions, and sketch the graph of a line with the indicated attributes. A line that has a vertical intercept of 1.5 and a slope of \(0 .\)

Find the equation of the line in the form \(y=m x+b\) for each of the following sets of conditions. Show your work. a. Slope is \(\$ 1400 /\) year and line passes through the point \((10 \mathrm{yr}, \$ 12,000)\) b. Line is parallel to \(2 y-7 x=y+4\) and passes through the point (-1,2) c. Equation is \(1.48 x-2.00 y+4.36=0 .\) d. Line is horizontal and passes through ( 1.0,7.2 ). e. Line is vertical and passes through ( 275,1029 ). \(\mathbf{f}\). Line is perpendicular to \(y=-2 x+7\) and passes through (5,2)

Construct the graphs of the following piecewise linear functions. Be sure to indicate whether an endpoint is included in or excluded from the graph. a. \(f(x)=\left\\{\begin{array}{ll}2 & \text { for }-3

a. Normal human body temperature is often cited as \(98.6^{\circ} \mathrm{F}\). However, any temperature that is within \(1^{\circ} \mathrm{F}\) more or less than that is still considered normal. Construct an absolute value inequality that describes normal body temperatures \(T\) that lie within that range. Then rewrite the expression without the absolute value sign. b. The speed limit is set at 65 mph on a highway, but police do not normally ticket you if you go less than 5 miles above or below that limit. Construct an absolute value inequality that describes the speeds \(S\) at which you can safely travel without getting a ticket. Rewrite the expression without using the absolute value sign.

The greatest integer function \(y=[x]\) is defined as the greatest integer \(\leq x\) (i.e., it rounds \(x\) down to the nearest integer below it). a. What is [2]\(?[2.5] ?[2.9999999] ?\) b. Sketch a graph of the greatest integer function for \(0 \leq x<5 .\) Be sure to indicate whether each endpoint is included or excluded. [Note: A bank employee embezzled hundreds of thousands of dollars by inserting software to round down transactions (such as generating interest on an account) to the nearest cent, and siphoning the round-off differences into his account. He was eventually caught.