Answer :
A) Business means the process of earning money, so she earned $350 at first time, so her initial value would be: $350
Rate of change = 750 - 350 / 350 * 100
= 400 / 350 * 100
= 40000 / 350
= 114.28
Now, There are 4 years between 2014 & 2010 so it will be:
= 114.28 / 4 = 28.57
In short, Your Answer would be 28.57% per year
B) Equation would be: Y = x + 0.2857x
Where, x = number of year
Hope this helps!
Rate of change = 750 - 350 / 350 * 100
= 400 / 350 * 100
= 40000 / 350
= 114.28
Now, There are 4 years between 2014 & 2010 so it will be:
= 114.28 / 4 = 28.57
In short, Your Answer would be 28.57% per year
B) Equation would be: Y = x + 0.2857x
Where, x = number of year
Hope this helps!
The initial value of her business is $350 and the rate of change is $100 per year. The equation of fee charged per year in slope-intercept form is [tex]y=350+100x[/tex].
Given information:
Sarah has been running a dog-walking business since 2010.
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. So, in four years, Sarah has increased the fee by $400.
The rate of change or slope for Sarah's business will be,
[tex]m=\dfrac{750-350}{4}\\m=\dfrac{400}{4}\\m=100[/tex]
So, each year, Sarah is increasing the fee by $100.
The initial value of her business is $350 as this is the price which she got for the first year.
B. Let x be the number of years after 2010 when she started the business.
So, the equation of fee charged per year in slope-intercept form can be written as,
[tex]y=mx+c\\y=350+100x[/tex]
where y represents the price she gets after x years.
Therefore, the initial value of her business is $350 and the rate of change is $100 per year. The equation of fee charged per year in slope-intercept form is [tex]y=350+100x[/tex].
For more details about the slope-intercept form, refer to the link;
https://brainly.com/question/18170576
