All categories

3 years ago

11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)

Mathematics

1 answer:

Schach [20]3 years ago

7 0

9514 1404 393

Answer:

y = -6x +9

y = 9·(1/3)^x

Step-by-step explanation:

In each case, the y-intercept is 9.

Linear

The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...

y = mx + b . . . . . . . slope m, intercept b

y = -6x +9

Exponential

The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...

y = 9·(1/3)^x

You might be interested in

21. Jesse saved his allowance all summer to by a wake board. He put $36.50 in his piggy bank every two weeks for 3 months. He sp

ddd [48]

So lets start out this problem with the initial amount of money jesse has:

$36.50 x (2 (times a month)) x (3 months) = $219

Then, you take 1/4 of his money (which can be converted to the decimal 0.25) and you subtract it from $219

$219 - ($219 x 0.25)

$219 - $54.75 = $164.25

Next, you have to subtract Jesse's lunch ($14.25) from the money he has left after purchasing his tow rope and bathing suit.

$164.25 - $14.25 = $150

Jesse's wake board cost him $150.

7 0

3 years ago

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table

Maurinko [17]

Answer: -2

Step-by-step explanation:

Because it is

7 0

2 years ago

A car dealership has SUVs and sedans in a ration of 5:9. How many sedans does the car dealership have if there are 140 SUVs

Elza [17]

To solve this, all you need to do is compare the ratio to the amount of SUVS there are.

5/9 (SUVs to sedans)

140/? (SUVs to sedans)

140 ÷ 5 = 28

9 x 28 = 252

140/252

There are 252 sedans in the car dealership! :D

8 0

3 years ago

Read 2 more answers

Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equat

Solnce55 [7]

Answer:

Equation is $x+\frac{16}{3}=\frac{15}{2}$ where $x$ denotes number of cups of orange juice needed by Sam.

$x=\frac{13}{6}$

Step-by-step explanation:

Let $x$ denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch $=7\frac{1}{2} =\frac{15}{2}$

Number of cups with Sam $=5\frac{1}{3}=\frac{16}{3}$

Therefore,

$x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}$

4 0

2 years ago

A hemisphere of radius 4 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the cen

spin [16.1K]

Answer:

Sawwekei

Step-by-step explanation:

3 0

3 years ago