Write an equation in function notation for each relation

advertisement
Name ______________________________________
Period ________
Date ______________________
WRITING EQUATIONS FROM PATTERNS PRACTICE B
Write an equation for each table of values. Then complete the missing value on the table.
1)
Number of students, 𝑠
1
2
3
4
10
Number of books, 𝑏
11
14
17
20
2)
𝑥
1
2
3
4
𝑦
20
14
8
2
7
3) Rachel is at a friend’s house which is 6 miles away from home. Then she starts cycling further away
from her house at a constant rate of 4 miles per hour.
a. How far away is Rachel away from her house after 1 hour?
b. If she never stops for a rest, how far will Rachel be from home after 7 hours?
c. Make a table of values for the number of hours that pass, ℎ and the distance from home, 𝑑.
ℎ
𝑑
d. Write an equation to represent this relationship.
0
1
2
3
e. Use your equation to predict how far Rachel will be from home
after 4 and a half hours.
8
f. Use your equation to predict how far Rachel will be from home after 2 hours and 15
minutes.
g. How many hours will pass until she is 32 miles from her home?
4) Rodney has 53 baseball cards. Then he started to buy cards each week. After 1 week, Rodney had
73 cards. After 2 weeks, he had 93 cards. After 3 weeks, he had 113 cards.
a. Make a table of values for the number of weeks, 𝑤, and the total number of cards, 𝑛.
b. Write an equation to describe this relationship.
c. Use this equation to predict the number of cards that Rodney
will have after 10 weeks.
d. Use this equation to find how many weeks it will be until
Rodney has 393 cards.
e. How would your equation in part b change if Rodney was selling 20 baseball cards each week
instead of buying them?
Download