1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksana_A [137]
3 years ago
14

The graph of an exponential function passes through the point (0,15) and (1,10). What is the equation of the exponential functio

n that models the curve that passes through these two points? Explain your answer using complete sentences.

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

y=15(\frac{2}{3})^x

Step-by-step explanation:

we know that

The equation of a exponential function is of the form

y=a(b^x)

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem we have

a=15 ----> the y-intercept is given

substitute

y=15(b^x)

we have the other ordered pair (1,10)

substitute the value of x and the value of y and solve for b

10=15(b^1)\\10=15b

b=\frac{10}{15}=\frac{2}{3}

substitute

y=15(\frac{2}{3})^x

see the attached figure to better understand the problem

You might be interested in
which of the following is the equation of the line that passes though the point (-2,1) and has a slope of 4
Ierofanga [76]

An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.


You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.


y = mx + b

1 = 4(-2) + b

1 = -8 + b

9 = b


Now we can use that and the slope to create the equation y = 4x + 9

4 0
3 years ago
Expand and simply <br>a) 2(4c+5d)+3(c-3d) <br>b) 6(3m+n)-4(m-n)<br>​
dezoksy [38]

Answer:

a. 11x + d

b. 15m + 10n

Step-by-step explanation:

a. 2(4c+5d) + 3(x-3d)

Break the brackets:

2*4c + 2*5d + 3*x - 3*3d

= 8x + 10d + 3x - 9d

Collect like termsL

= 8x + 3x + 10d - 9d

= 11x + 1d

b. 6(3m+n) - 4(m-n)

Break the brackets:

= 6*3m + 6*n - 3*m - 4*(-n)

= 18m + 6n - 3m - (-4n)

= 18m -3m + 6n + 4n

= 15m + 10n

Hope this helped :3

3 0
3 years ago
The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of
Mashcka [7]

Answer:

0.039

Step-by-step explanation:

5 0
3 years ago
What is 22b+3b simplified
ss7ja [257]

it's a simple addition:

22b + 3b =

25b

5 0
3 years ago
Roberta needs ribbon for a craft project. The ribbon sells for $3.74 per yard. Find the cost, in dollars, for 48 inches of the r
almond37 [142]
You have to convert 1 yard to 36 inches. so you do 3.74×3.74(1/3) because the extra 12 inches is one third of a yard. You eventually get 4.986 which rounds to 4.99
5 0
3 years ago
Other questions:
  • Write a formula for function f in terms of function g.
    14·1 answer
  • How do you find the area of a figure
    5·1 answer
  • The length of a swimming pool is 8m longer than its width and the area is 1o5m2?
    13·2 answers
  • Raul biked at a steady speed during his 8 mile ride. He finished the ride in 4/5. Which fraction represents rauls speed in miles
    6·2 answers
  • This caked was sliced parallel to the base
    11·2 answers
  • In her last four games of golf, Maria has had scores of 76, 73, 70, and 67.
    7·1 answer
  • 1. What has left tons of “space junk” in orbit around the earth?
    15·1 answer
  • Help me out, f(x)= x+3/2x+5<br> f(n-1)
    9·1 answer
  • What is the slope and y-intercept of y=2x+3 and why?
    5·1 answer
  • 3. Boynton Beach recreation center has collected a total of 510 donated tickets for free ice
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!