Question

chapter 10 practice: slope
do the following questions on your own first and then check your answers in the appendix.
lesson 1: drilling for understanding

1. find the slope of the following ramps.

we know
we know

Explanation:

Step1: Recall the slope formula

The slope \(m\) of a line (or in this case, the slope of the ramp which can be considered as the slope of the line representing the ramp) is given by \(m=\frac{\text{rise}}{\text{run}}\).

Step2: Calculate the slope for part a

For the first ramp (part a), the rise (vertical change) is \(y = 6\space\text{cm}\) and the run (horizontal change) is \(x=10\space\text{cm}\). Using the slope formula \(m=\frac{y}{x}\), we substitute \(y = 6\) and \(x = 10\). So, \(m=\frac{6}{10}=\frac{3}{5}=0.6\)

Step3: Calculate the slope for part b

For the second ramp (part b), the rise (vertical change) is \(y = 60\space\text{mm}\) and the run (horizontal change) is \(x = 20\space\text{mm}\). Using the slope formula \(m=\frac{y}{x}\), we substitute \(y = 60\) and \(x=20\). So, \(m=\frac{60}{20}=3\)

Answer:

a. The slope is \(0.6\)
b. The slope is \(3\)