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sertanlavr [38]
3 years ago
10

Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them t

o their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:
Year Annual Dog-walking Fee
2010 $350
2014 $750

A. What is the rate of change and initial value for Sarah’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year.
Mathematics
1 answer:
scoray [572]3 years ago
4 0
350 + 4x = 750

x = the amount the fee went up annually. 

4x = 750 - 350
4x = 400
x = 400/4
x = 100

The rate of change is 100 dollars per year. The initial value of her business is 350 dollars. To check your work (aka how do you know) if you add 100 dollars to her initial value (350) 4 times you get 750.
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Please help! giving brainliest.
Advocard [28]

Answer:

99.225

Step-by-step explanation:

10×3.15 is 31.5

31.5 squared is 99.225

Hope this helps!

7 0
3 years ago
Read 2 more answers
It takes 34 pounds of seed to completely plants 5 acre field. How many pounds of seed are needed per acre?
Nataly [62]

Answer:

Step-by-step explanation:

Since 34 Lbs of seed is needed for 5 Acre's, You will need two find 1/5th of 34.

1/5 in decimal form is 0.2

34*0.2= 6.8

 

In order to cover 1 Acre of land you will need 6.8 lbs of seed.

 

Hope this helps!

6 0
3 years ago
There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will g
hodyreva [135]

Answer:

The person who receives the most will get $24

Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

x+y+z=48 ----> equation A

x:y:z=3:2:1

so

\frac{x}{y}=\frac{3}{2}

x=1.5y ----> equation B

\frac{y}{z}=\frac{2}{1}

z=0.5y ----> equation C

substitute equation B and equation C in equation A

1.5y+y+0.5y=48

solve for y

3y=48\\y=\$16

Find the value of x

x=1.5(16)=\$24

Find the value of z

z=0.5(16)=\$8

therefore

The person who receives the most will get $24

7 0
3 years ago
Read 2 more answers
Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
If a graph passes the horizontal line test, but not the vertical line test, is it still a function?
nydimaria [60]

If a graph fails the vertical line test it's not a function; you can't have a single x map to two ys.

Vice versa, if the graph passes the verticle line test, it's a function.  

The horizontal line test tests for injectivity aka one-to-one-ness; it has no bearing on whether something's a function.

8 0
3 years ago
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