The table below shows the number of centimeters a plant grew over 10 weeks.
Weeks Plant Growth
2 5 cm
4 8 cm
6 10 cm
8 13 cm
10 16 cm
Which of the following is the independent variable?
A.
weeks
B.
plant growth
C.
both weeks and plant growth
D.
neither weeks nor plant growth
A. weeks
Each student at Madison middle school owns three spiral notebooks. Mrs. Campbell wants to calculate the total number of notebooks in the middle school. What variable is needed to calculate the total?
A.
r, the number of students with red notebooks
B.
t, the number of teachers who have notebooks
C.
n, the number of spiral notebooks per student
D.
s, the number of students at the school
D. s, the number of students at the school
Look at the relationship between a and b.
a 3 7 11 15
b 5 9 13 17
Which equation below describes the relationship between a and b?
A.
b = 1 × a
B.
b = 8 - a
C.
b = 15 ÷ a
D.
b = 2 + a
B. b = 8 - a
Jimmy pays $2.25 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased, and m, the amount he pays for gas?
A.
g m
$4.50 2
$11.25 5
$18.00 8
B.
g m
2 $4.50
5 $11.25
8 $18.00
C.
g m
1 $2.25
2 $4.50
3 $7.50
D.
g m
$2.25 1
$4.50 2
$7.50 3
B.
```
g m
2 $4.50
5 $11.25
8 $18.00
```
explain
The correct table is B because it shows the relationship between the number of gallons purchased and the amount spent on gas for each number of gallons with $2.25 for each gallon. This means that the cost will increase proportionally with the number of gallons Jimmy purchases. Therefore, it's important to set up the table with g, the independent variable, in the first column and m, the dependent variable, in the second column.
Becky and Cathy are sisters. Becky is four years older than Cathy. The following shows how Becky's age, y, changes as Cathy's age, x, changes.
Which equation shows this relationship?
A.
4y = x
B.
y + 4 = x
C.
y = x + 4
D.
y = 4x
for y on the graph it goes from 10 to 1 from up to down and the point starts at 4 and goes up to 10 on y side and in the middle of 6 and 7 on x the numbers on the x line are 1 2 3 4 5 6 7 8 9 10 from left to right