SAT Math Practice: Common Graphs Practice 01

If the y-axis measures meters and the x-axis measure time in seconds, what is the average speed of the object during the first 9 seconds?

$\dfrac{9}{2}$

$\dfrac{2}{9}$

$\dfrac{4}{9}$

$\dfrac{9}{4}$

If the y-axis measures speed in meters/second, what is the average acceleration of the object over the last 9 seconds?

$\dfrac{2}{9}$

$\dfrac{2}{3}$

$\dfrac{4}{9}$

$\dfrac{1}{3}$

If the y-axis measures speed in meters/second, what is the approximate distance traveled over 18 seconds?

$\dfrac{4}{9}$

$8$

$18$

$144$

The speeds of two cars starting at different initial speeds are represented in the graph above. From initial time $(t=0)$ to final time $(t=10)$ , the drivers press their gas pedals to the floor. The speed of each car was measured every second, and the values were plotted on the graph. The result was two smooth curves representing the change in speed of each car. Which of the following is a correct statement about the data below?

At time $t=0$ , both cars reach their max speeds

At time $t=0$ , Car 2 travels three times faster than Car 1

For the full ten seconds, the speed of Car 1 is increasing at a higher average rate than the speed of Car 2

At some point on the ten second interval, the two cars travel at the same exact speed

A worker for a natural park plants two different trees that each reach a maximum height of 10 feet. After the initial planting of the trees $(t=0)$ , the worker measures and records the height of each plant every month. The data for each plant were fit by a smooth curve, as shown above, where each curve represents the height of each tree as a function of time in months. Which of the following is a correct statement about the data above?

At time $t=0$ , both trees reach their max hieght

At time $t=0$ , Tree 1 is $50 \%$ taller than Tree 2

At time $t=0$ , both trees are $20 \%$ of their max height

For the first week, the height of Tree 2 is increasing at a higher average rate than the height of Tree 1