Transcript Section 1.3 Day 3

Given the following
data, find the slope,
equation, and yintercept. Describe
the meaning of the
and slope.
Algebra 2-Period 6
Ex 2: The equation h = - 3t + 48 represents a
model of the height h, in inches, of water in
a pool at time t in minutes.
a) How can we determine the slope if we are not
using x and y?
b) What does the slope in represent?
c) What does the y-intercept represent?
d) What does the x-intercept represent?
You Do 1: The equation C = 240 + 25b
is a linear model of the charge of a
train ticket C if you bring b bags on
the train.
a) What does the slope represent?
b) What does the y-intercept
represent?
c)Does the x-intercept make sense in
this problem? Explain.
Two prom venues charge a rental fee plus a fee per
student. The table shows the total costs for different
numbers of students at Lakeside Inn. The total cost y (in
dollars) for x students at the Sunview Resort is
represented by the equation y = 10x + 600.
Lakeside Inn
Number of
students, x
Total cost, y
100
$1500
125
$1800
150
$2100
175
$2400
200
$2700
Which venue
charges less per
student?
How many students
must attend for the
costs to be the same?
1. Create the equation for the Lakeside Inn:
Slope: 𝑚 =
1800−1500
125−100
=
300
25
= 12
Equation: 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
𝑦 − 1500 = 12 𝑥 − 100
𝑦 − 1500 = 12𝑥 − 1200
𝑦 = 12𝑥 + 300
2. Compare the slopes to see which is cheaper:
Sunview charges $10 per student, Lakeside charges $12
per student. Sunview is cheaper.
3. Solve for when total cost is the same:
10𝑥 + 600 = 12𝑥 + 300
300 = 2𝑥
𝑥 = 150
Total costs would be the same at 150 students.
You Do 2: Kelly and Kim are both babysitters. Kelly
charges a flat fee of $10 plus $6 per hour to babysit.
The table below shows the hourly fee that Kim charges
to babysit.
number of
hours, x
Total fee, y
1
$22
2
$26
3
$30
4
$34
Who charges more per hour?
How many hours must Kim and
Kelly babysit for their charges to
be the same?
 Function Review Packet
 # 3b, 5b, 6(a-c)