Page 37 - Math Course 1 (Book 2)

Linear Equations

A. Determine the x-intercept, y-intercept, and zero
Let’s Begin of the graph of the function.

x-intercept = 500;
Answer y-intercept = 2000;
zero of the function = 500
Real World Example
B. Describe what the intercepts in the previous
problem mean
WATER STORAGE
A valve on a tank is opened and the water is The x-intercept 500 means that
drained, as shown in the graph. Answer after 500 seconds, there are 0
ounces of peanuts left in the
Water Drainage box. The y-intercept of 2000
Amount of water(gallons)
means that at time 0, or before
A. Determine the any peanuts were poured, there
were 2000 ounces of peanuts in
x-intercept, the box.
y-intercept,
and zero.

Your Turn!

Minute Real World Example
BANKING
x-intercept = 4; Janine has money in a checking account. She
Answer y-intercept = 200; begins withdrawing a constant amount of money
zero of the function = 4 each month as shown in the graph.

B. Describe what the intercepts mean. A. Determine the x-intercept, y-intercept, and zero.

The x-intercept 4 means that a. 10; 250; 10
Answer after 4 minutes, there are 0 b. 10; 10; 250
gallons of water left in the tank. c. 250; 10; 250
The y-intercept of 200 means d. 5; 10; 5
that at time 0, or before any
water was drained, there were Answer
200 gallons of water in the tank.

B. In relation to the previous problem, describe what
ANALYZE TABLES the x-intercept of 10 means?
A box of peanuts is poured into bags at the rate of
4 ounces per second. The table shows the function a. It is the amount of money before anything was
relating to the weight of the peanuts in the box and withdrawn.
the time in seconds the peanuts have been pouring b. That after 10 months, there is no money left in the
out of the box.
Pouring Peanuts account.
c. It is the amount of money in the account after 6
Pouring Peanuts months.
Time(s) Weight d. This cannot be determined.
x (oz) y
0 2000 Weight(oz) Answer
125 1500
250 1000
375 500
500 0
Time(s)
29