A pediatric speech therapist started her own practice in 1990. The table below s

Question

A pediatric speech therapist started her own practice in 1990. The table below shows the number of children she treated each year from 1990 to 1998. Align the data to the number of years past 1990 and fit a linear model to the data. Select the most appropriate answer. A. y=11x + 2 B. y = 3.2x+10.53 C. y= 10.53X + 3.2 D. y = 2x + 11 Write the equation of the line using the information given about its graph. The rate of change is 3 and y = - 6/7 when x = 0. A. y = -6/7x -3 B. y = -6/7x +3 C. y = 3x + 6/7 D. y = 3x - 6/7 Use the table to answer the question Is 35 an input or output of this function? Output Input Determine if the vertex of the graph is a maximum point or a minimum point. f(x) = 4x2 - 5x + 5 Minimum Maximum Construct a scatter plot of the data in the table.

Explanation / Answer

y=3.2x+10.53 is the best equation that satisfies the table because

In year 1991 x will be 1991-1990=1

So y=10.53+3.2

Out of all the options this seems to be appropriate.

Given dy/dx=3

y=3x+c

x=0 y=-6/7

So c=-6/7

y=3x-6/7

Clearly 35 is an input because we get the value of y on putting x=35 in g(x).

f '(x)=0 gives x=5/8

f "(x)=8>0

Since f "(x) >0 it is a minima.

D is the scatter plot.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.