Problem 64
Running. Jerod ran from the 2 -mi marker to the finish line of a 5 -mi race in 25 min. At this rate, how long would it take Jerod to run a \(10-\mathrm{km}\) race? (Hint: \(\mathrm{mi} \approx 1.61 \mathrm{km} .\)
Problem 65
At 3: 00 P.M., Camden and Natalie had already made 46 candles. By \(5.00 \mathrm{PM}\). the total reached 100 candles. Assuming a constant production rate, at what time did they make their 82 nd candle?
Problem 66
Write the slope-intercept equation for the line containing the given pair of points. $$ (-3,5) \text { and }(-1,-3) $$
Problem 68
Graph equation using both viewing windows indicated. Determine which window best shows both the shape of the graph and where the graph crosses the \(x-\) and \(y\) -axes. \(y=-3 x+30\) a) \([-10,10,-10,10], X\) scl \(=1, Y\) scl \(=1\) b) \([-20,20,-20,40], X\) scl \(=5, Y\) scl \(=5\)
Problem 68
Melting Snow. The function \(W(d)=0.112 d\) approximates the amount, in centimeters, of water that results from \(d\) centimeters of snow melting. Find the amount of water that results from snow melting from depths of 16 cm, 25 cm, and 100 cm.
Problem 69
Graph equation using both viewing windows indicated. Determine which window best shows both the shape of the graph and where the graph crosses the \(x-\) and \(y\) -axes. \(y=5 x^{2}-8\) a) \([-10,10,-10,10], X\) scl \(=1, Y\) scl \(=1\) b) \([-3,3,-3,3], X\) scl \(=1, Y\) scl \(=1\)
Problem 71
Explain why the order in which coordinates are subtracted to find slope does not matter so long as \(y\) -coordinates and \(x\) -coordinates are subtracted in the same order.
Problem 74
To prepare for Section 3.6 , review solving a formula for a variable and graphing linear equations (Sections 2.3 and 3.2). Solve. [ 2.3] $$ r x-m n=p, \text { for } r $$
Problem 81
Record Temperature Drop. On January \(22,1943\) the temperature \(T,\) in degrees Fahrenheit, in Spearfish, South Dakota, could be approximated by \(T=-2 m+54,\) where \(m\) is the number of minutes since 9: 00 A.M. that morning. Graph the equation and use the graph to estimate the temperature at 9: 15 A.M.
Problem 85
Write a slope-intercept equation of the line whose graph is described. Parallel to the graph of \(y=5 x-7 ; y\) -intercept \((0,11)\)