Complete the following tables of values using the given formulas:
| x | - 1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
| x | - 10 | - 5 | 0 | 5 |
|---|---|---|---|---|
| y |
| s | - 16 | 0 | 1 | 6 | 20 |
|---|---|---|---|---|---|
| t |
s = r + 2
| r | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| s |
s = r + 16
| r | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| s |
| x | - 4 | - 2 | 0 | 2 |
|---|---|---|---|---|
| y |
| x | - 1 | 1 | 4 | 5 |
|---|---|---|---|---|
| y |
v = 5 u
| u | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| v |
t = - 5 s
| s | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| t |
y = 3 x + 2
| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| y |
q = 2 p - 3
| p | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| q |
n = - 2 m + 7
| m | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| n |
y = x + 5
| x | - 1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|
| y |
v = u + 8
| u | - 5 | - 4 | - 3 | - 2 | - 1 |
|---|---|---|---|---|---|
| v |
q = - 2 p - 3
| p | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| q |
s = 7 - 9 r
| r | 2 | 3 | 4 | 5 |
|---|---|---|---|---|
| s |
t = 8 - 9 s
| s | 2 | 3 | 4 | 5 |
|---|---|---|---|---|
| t |
| x | - 10 | - 5 | 0 | 5 |
|---|---|---|---|---|
| y |
For each of the following equations:
Complete the table:
| p | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| q | 8 | 9 | 10 |
Find the value of q when p = 20.
q = p + 7
q = 3 p
q = 5 p - 3
Consider the equation n = m - 7.
Complete the table:
| m | 10 | 11 | 12 | 13 | 14 | 15 |
|---|---|---|---|---|---|---|
| n | 3 | 4 | 5 |
Find the value of n when m = 20.
The cost of a taxi ride C, in dollars, is given by C = 2.50 t + 3 where t is the duration of the trip in minutes.
Calculate the cost of the following:
A 6-minute trip.
A 7-minute trip.
Complete the table of values:
| \text{Time in minutes }(t) | 6 | 7 | 8 | 9 | 11 | 16 |
|---|---|---|---|---|---|---|
| \text{Cost in dollars }(C) |
Vanessa is making a sequence of shapes out of tiles. She creates a table comparing the sequence number of a shape to the number of tiles needed to make it:
| \text{Sequence} \\ \text{number } \left(n\right) | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| \text{Number of} \\ \text{tiles } \left(T\right) | 3 | 5 | 7 |
How many new tiles are added at each step?
Find how many tiles Vanessa will need to make the next three shapes in the sequence by completing the table of values.
An equation to represent the relationship between a shape's sequence number and the number of tiles needed can be written in the form T=s+(n-1)d, where s is the starting number of tiles and d is the number of new tiles added each step.
Find how many tiles Vanessa will need to make the 20th shape in the sequence.