Question

complete the statement that describes the situation. the pond was 64°f when deb first recorded its temperature. the temperature of the pond ______. options: increased 2°f each day, decreased 2°f each day, increased 1°f every 2 days, decreased 1°f every 2 days. (chart: x-axis days after first recording (1 - 10), y-axis temperature (°f) (60 - 72), line from (0,64) increasing)

Explanation:

To determine the temperature change, we analyze the graph. At \( x = 0 \) (first recording), the temperature is \( 64^\circ\text{F} \). At \( x = 4 \) (4 days later), the temperature is \( 65^\circ\text{F} \) (wait, no, looking at the grid, at \( x = 0 \) (day 0) it's 64, at \( x = 4 \) (day 4) it's 65? Wait, no, the line goes from (0,64) to (4,65)? Wait, no, the grid: each square is 1 day on x and 1°F on y? Wait, no, the y - axis is temperature (°F) with 64 at x = 0, and at x = 4, the temperature is 65? Wait, no, the line passes through (0,64) and (4,65)? Wait, no, looking at the graph, from day 0 (x = 0) to day 4 (x = 4), the temperature goes from 64 to 65? Wait, no, maybe each x - grid is 1 day, y - grid is 1°F. Wait, the first point is (0,64), then at x = 4, the temperature is 65? Wait, no, the line is increasing. Let's calculate the slope (rate of change). The slope \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Take two points: (0,64) and (4,65)? No, wait, maybe (0,64) and (2,65)? Wait, no, the graph shows that from x = 0 (day 0) to x = 4 (day 4), the temperature increases by 1°F (from 64 to 65? No, the grid lines: 64 at x = 0, then at x = 4, it's 65? Wait, no, the y - axis has 64, 65 (wait, no, the y - axis labels are 60, 62, 64, 66, 68, 70, 72. So each major grid line is 2°F? Wait, 64 to 66 is 2°F over 4 days? No, 64 at x = 0, and at x = 4, it's 65? No, maybe the points are (0,64) and (4,65) is wrong. Wait, let's look at the options. The options are: increased 2°F each day, decreased 2°F each day, increased 1°F every 2 days, decreased 1°F every 2 days. Let's check the rate of change. From x = 0 (day 0, temperature 64°F) to x = 2 (day 2), what's the temperature? The line at x = 2 is at 65°F? Wait, no, the y - axis: 64 at x = 0, then at x = 2, it's 65? No, maybe the temperature increases by 1°F every 2 days. Let's see: from day 0 (64°F) to day 2 (65°F)? No, 64 to 65 is 1°F over 2 days. So the rate of change is \( \frac{1}{2} \) °F per day, which is equivalent to 1°F every 2 days. So the temperature increases 1°F every 2 days.

Answer:

increased 1°F every 2 days