91Ó°ÊÓ

In \(1993,\) the life expectancy at birth of females was 78.8 years. In \(2006,\) it was 80.2 years. Let \(E\) represent life expectancy and \(t\) the number of years since 1990 Source: National Vital Statistics Reports a) Find a linear equation that fits the data. b) Predict the life expectancy of females in \(2010 .\)

Using a graphing calculator, graph each equation so that both intercepts can be easily viewed. Adjust the window settings so that tick marks can be clearly seen on both axes. $$ y-2.13 x=27 $$

Write a slope-intercept equation of the line whose graph is described. Perpendicular to the graph of \(x+y=3\) \(y\) -intercept \((0,-4)\)

To prepare for Section \(3.4,\) review translating to algebraic expressions (Section 1.1). Translate to an algebraic expression. [ 1.1] 7 less than \(d\)

Find the indicated function values for each function. $$F(x)=\left\\{\begin{array}{ll} {2 x,} & {\text { if } x \leq 0} \\ {x,} & {\text { if } 03} \end{array}\right.$$ a) \(F(-1)\) b) \(F(3)\) c) \(F(10)\)

Use the suggested \(x\) -values \(-3,-2,-1,0,1,2,\) and 3 to graph equation. Check using a graphing calculator. \(y=|x|\)

Write an equation of the line parallel to the \(x\) -axis and passing through \((3,5)\)

In Exercises \(101-108\), each model is of the form \(f(x)=m x+b .\) In each case, determine what \(m\) and \(b\) signify. Landscaping. After being cut, the length \(G(t)\) of the lawn, in inches, at Great Harrington Community College is given by \(G(t)=\frac{1}{8} t+2,\) where \(t\) is the number of days since the lawn was cut.

In Exercises \(101-108\), each model is of the form \(f(x)=m x+b .\) In each case, determine what \(m\) and \(b\) signify. Cost of a Taxi Ride. The cost, in dollars, of a taxi ride during off-peak hours in New York City is given by \(C(d)=2 d+2.5,\) where \(d\) is the number of miles traveled.

Why is slope-intercept form more useful than point-slope form when using a graphing calculator? How can point-slope form be modified so that it is more easily used with graphing calculators?