Remember: A table, a graph and an equation can all show the same steady change.
Tables, graphs and equations
1
Mia bikes at a steady speed. In the table, t is her hours and d is her miles. How many miles after 4 hours?
2
What equation gives d from t?
d = t + 6d = 6td = t ÷ 6
3
Mia's miles are d = 6t, with t in hours. How many miles after 5 hours?
4
In Mia's table, t is her hours and d is her miles. Which variable changes because the other one changes?
t, the hoursd, the miles
5
Tickets cost the same each. In the table, n is tickets and c is dollars. Which graph matches?
Graph 1Graph 2Graph 3
6
In d = 6t, when t goes up by 1, d goes up by 6.
TrueFalse
7
Leo's cost is c = 9n dollars for n tickets. Then 4 tickets cost 13 dollars.
TrueFalse
8
Leo's cost is c = 9n dollars. How many tickets cost 45 dollars?
9
Join each equation to its story. Ava earns p dollars for h hours.
1p = 2h
2p = 5h
3p = 2h + 6
4p = 5h + 2
A2 dollars for each hour
B5 dollars for each hour
C6 dollars at the start, then 2 each hour
D2 dollars at the start, then 5 each hour
10
Ava's pay is p = 2h + 6, with h in hours. How many dollars after 3 hours?
11
What equation gives p from h?
p = 6h + 2p = 2h + 6p = 8h
12
The graph shows Mia's ride, d = 2t. Across is hours t and up is miles d. What does point P tell us?
After 4 hours, she has gone 2 miles.After 2 hours, she has gone 4 miles.She bikes 6 miles in all.
13
Write how the table, the graph and the equation d = 6t tell the same story about Mia's ride.
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