Q. 4.99 Sam drives a delivery van. The e... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 4.99 (page 510)

Sam drives a delivery van. The equation $C = 0.5 m + 60$ models the relation between his weekly cost, $C$ , in dollars and the number of miles, $m$ , that he drives.
鈸� Find Sam鈥檚 cost for a week when he drives $0$ miles.
鈸� Find the cost for a week when he drives $250$ miles.
鈸� Interpret the slope and C-intercept of the equation.
鈸� Graph the equation.

Short Answer

Expert verified

Part 鈸� Sam鈥檚 cost for a week when he drives $0$ miles is : $$ 60$

Part 鈸� Sam鈥檚 cost for a week when he drives $250$ miles is : $$ 185$

Part 鈸� The slope, $0.5$ , means that when number of miles driven increases by $1$ , the weekly cost increases by $$ 0.50$ . The C-intercept means that the weekly cost is $$ 60$ when number of miles driven is $0$

Part 鈸� Graph of the equation

Step by step solution

Part (a) Step 1. Given Information

The equation $C = 0.5 m + 60$ models the relation between Sam's weekly cost, $C$ , in dollars and the number of miles, $m$ , that he drives.

Part (a) Step 2. Finding Sam’s cost for a week when he drives 0 miles

Put $m = 0$ in the given equation $C = 0.5 m + 60$

鈬� T = 0.5 (0) + 60 鈬� T = 0 + 60 鈬� T = 60

Part (b) Step 1. Finding Sam’s cost for a week when he drives 250 miles

Put $m = 250$ in the given equation $C = 0.5 m + 60$

鈬� T = 0.5 (250) + 60 鈬� T = 125 + 60 鈬� T = 185

Part (c) Step 1. Interpreting the slope and C-intercept of the equation

The equation $C = 0.5 m + 60$ is in slope-intercept form $y = m x + b$ .

By comparison, we get, slope, $m = 0.5$ , which means that when the number of miles driven increases by $1$ , weekly cost increases by $$ 0.5$ . The C-intercept means that the weekly cost is $$ 60$ when the number of miles driven is $0$ .