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4.08 Problem solving with tables, equations and graphs

Adaptive
Worksheet

Interactive practice questions

Consider the points in the table.

Time in minutes ($x$x) $1$1 $2$2 $3$3 $4$4 $5$5
Temperature in Fahrenheit ($y$y) $6$6 $8$8 $10$10 $12$12 $14$14
a

By how much is the temperature increasing each minute?

b

What would the temperature have been at time $0$0?

Medium
1min

Buzz recorded his savings (in $dollars$dollars) over a few months in the graph given.

Medium
< 1min

There are $20$20 liters of water in a rainwater tank. It rains for a whole day and during this time, the tank fills up at a rate of $8$8 liters per hour.

Medium
1min

The cost of a taxi ride is given by $C=5.5t+10$C=5.5t+10, where $t$t is the duration of trip in minutes.

Medium
1min
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Outcomes

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. Where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

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