Answer:
C
Step-by-step explanation
Why does C work:
You can calculate the rate of change by subtracting 12 from Distance Traveled = 1, from 12.75 from Distance Traveled = 2 to find the difference of 0.75.
Because the multiple-choice only offers fractions you can check if .75 is correct by converting it into a fraction. This is true, 0.75 is equal to 3/4.
Now that you know the rate of change you need to find the initial value which would be Distance Traveled = 0 and Time = __. To find this you subtract 0.75 from 12 which would give you 11.25.
C. y = 3/4(0.75) + 11.25
Answer: -2
Step-by-step explanation:
The y-intercept of this graph represents 20min
The vertex is the point where the function changes direction, in this case from growing to decrease. That is the point wiht x-coordinate 4 and y-coordinate 1, so the point is (4,1).
The graph shows us that the slope of f(x) is -2. Now we gotta find the slope of g(x) to compare it to that of f(x). The equation of g(x) is in slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept), so the slope is given to us for that one as well: it's -6. A line with a slope of -6 will be steeper than a line with a slope of -3, therefore the answer is B - the slope of f(x) is less than the slope of g(x).
Hope this helps.
