Question

ESS CHECKPOINT: ar Representations Diagnostic Test A This graph gives the temperature of Substance B over time. What is the slope of the line, and what does the slope mean in this situation? Select from the drop-down menus to correctly complete the statement. The slope is Choose... Choose... which means that the temperature by Choose... Terms of Use 9 degrees every minute. 125 120 115 110 105 100 95 90- 85 80 Temperature (°F) 55 45 40 Temperature of Substance B (2,88) (8, 112)​

Answer 1

The slope is
`\(4\)`, which means that the temperature increases by
`\(4\)`degrees every minute.

The slope
`(\(m\))`of a line is given by the formula:

`\[ m = \frac{\text{change in } y}{\text{change in } x} \]`

For the given points (2,88) and (8,112), the change in
`\(x\)` is
`\(8 - 2 = 6\)` (from 2 to 8), and the change in
`\(y\)` is
`\(112 - 88 = 24\)` (from 88 to 112).

`\[ m = (24)/(6) = 4 \]`

Now, interpreting the slope:

The slope represents the rate of change of
`\(y\)` with respect to
`\(x\)`. In this context, if
`\(x\)` represents time and
`\(y\)` represents temperature, the slope of 4 means that the temperature increases by 4 degrees for every 1 unit increase in time (in this case, every minute).