On a given day, the temperature in a pool increases with both the work of a heater modeled by the function h of t and the Sun s times t , depending on the amount of time that passes, t , in minutes. Which graph best shows the combination of both functions, c times t ?
Answer
A
Image with description A first-quadrant coordinate plane. On the coordinate plane, the x-axis ranges from 0 to 50 in increments of 10, and the y-axis ranges from 0 to 10 in increments of 5. The graph has 2 straight lines (h of t), and (s of t), a curve (c of t) that originate from the origin. The curve (c of t) passes close to (10 comma 2 point 5). Both (h of t) and (s of t) go to the right. The straight line (s of t) goes right and it moves close to the x-axis, and (h of t) is just above (s of t).
B
Image with description A first-quadrant coordinate plane. On the coordinate plane, the x-axis ranges from 0 to 50 in increments of 10, and the y-axis ranges from 0 to 10 in increments of 5. The graph has 3 straight lines (c of t), (h of t), and (s of t) that originate from the origin. The line (c of t) passes through (45 comma 5). Both (h of t) and (s of t) go to the right. The line (s of t) almost coincides with the x-axis, and (h of t) is just above (s of t).
C
Image with description A first-quadrant coordinate plane. On the coordinate plane, the x-axis ranges from 0 to 50 in increments of 10, and the y-axis ranges from 0 to 10 in increments of 5. The graph has 3 straight lines (c of t), (h of t), and (s of t) that originate from the origin. The line (c of t) passes close to (50 comma 10). Both (h of t) and (s of t) go to the right. The straight line (s of t) goes right, and it moves close to the x-axis, and (h of t) is just above (s of t).
D
Image with description A first-quadrant coordinate plane. On the coordinate plane, the x-axis ranges from 0 to 50 in increments of 10, and the y-axis ranges from 0 to 10 in increments of 5. The graph has 2 straight lines (h of t) and (s of t), a curve (c of t) that originate from the origin. The curve (c of t) passes close to (40 comma 2 point 5). Both (h of t) and (s of t) go to the right. The straight line (s of t) goes right, and it moves close to the x-axis, and (h of t) is just above (s of t).