Quiz about Interpreting Linear and Exponential Functions

Question 1

Which shows using the point (1, 1), initial amount = 2, and horizontal asymptote = -4 correctly to find b?

Accepted Answer

$$y=ab^x+k$$

1 = 2b¹- 4

5 = 2b

5/2 = b

Answer

$$y=ab^x+k$$

1 = 2b¹+ 4

-3 = 2b

-3/2 = b

Answer

$$y=ab^x+k$$

2 = 1b¹- 4

6 = 1b

6 = b

Answer

$$y=ab^x+k$$

1 = -4b¹+2

-1 = -4b

1/4= b

Question 2

Greg posted a tiktok video that received 400 hits the first day. Each day the number of hits doubled. He wrote a formula to see how many hits his video would receive in the next few days. The formula is shown below. katex latex="a_n=400\left(2\right)^{\left(n-1\right)}" Which formula is equivalent to the one Greg wrote?

Accepted Answer

$$a_1=400\ ;\ a_n=2a_{\left(n-1\right)}$$

Answer

$$a_1=2\ ;\ a_n=400a_{\left(n-1\right)}$$

Answer

$$a_1=2\ ;\ a_n=400+a_{\left(n-1\right)}$$

Answer

$$a_1=400\ ;\ a_n=2+a_{\left(n-1\right)}$$

Question 3

Which could represent "I start with 1000 bacteria and gain 5% every minute"

Accepted Answer

B=1000(1.05)^t

Answer

B=1000(1.5)^t

Answer

B=1000(5)^t

Answer

None of the above

Question 4

Trent, Aliyah, Peyton, Taylor, and Hayden are on a quest to find a hidden treasure. They stumbled upon a map with a line graph. They believe the line represents the path to the treasure. Can you help them figure out the equation of this line?

Accepted Answer

$$y\ =\ \frac{1}{3}x\ +\ 4$$

Answer

y = 4x

Answer

y = 4x + 3

Answer

y = 3x + 4

Question 5

What is the equation of the linear function shown?

Accepted Answer

y= -x - 1

Answer

y = x -1

Answer

y = -2x + 1

Answer

y = 4x - 5

Question 6

Why is this function linear?

Accepted Answer

This is a linear function because it is a straight line.

Answer

This is a linear function because it is going up

Answer

This is a linear function because the line is curved.

Answer

This is a linear function because it keeps going.

Question 7

What is the equation of the graph shown?

Accepted Answer

$$y=-\frac{1}{3}x-2$$

Answer

$$y=-\frac{1}{3}x+2$$

Answer

$$y=\frac{1}{3}x-2$$

Answer

$$y=\frac{1}{3}x+2$$

Question 8

Which function(s) have a positive slope?

Accepted Answer

f(x)

Accepted Answer

j(x)

Answer

g(x)

Answer

h(x)

Question 9

Which equation could match the graph shown?

Accepted Answer

$$y=\frac{4}{3}x-6$$

Answer

$$y=-6x+4$$

Answer

$$y=\frac{3}{4}x-6$$

Answer

$$y=4x-6$$

Question 10

What is the formula of this graph?

Accepted Answer

y = - 2/3x + 5

Answer

y = 2/3x + 5

Answer

y = - 5x + 2/3

Answer

y = 5x + 2/3

Question 11

Question 11.

Accepted Answer

y=-1/3x+3

Answer

y=1/3x+3

Answer

y=-1/3x+2

Answer

y=-3/1x+2

Interpreting Linear and Exponential Functions

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