A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667
The slope of the line that passes through the following points is undefined
<em><u>Solution:</u></em>
Given that, We have to find the slope of line passing through two points
Given points are (-1, 5) and (-1, 6)
<em><u>The slope of line is given by formula:</u></em>
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From given,
![(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%28-1%2C%205%29%5C%5C%5C%5C%28x_2%2C%20y_2%29%20%3D%20%28-1%2C%206%29)
<em><u>Substituting the values we get,</u></em>
![m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B6-5%7D%7B-1-%28-1%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B1%7D%7B-1%2B1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B1%7D%7B0%7D)
Thus the slope is undefined
Answer:
The width of the garden bed must be less than or equal to 4 feet.
![w\leq4](https://tex.z-dn.net/?f=w%5Cleq4)
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
![\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D2l%2B2w%5Cleq20%20%5C%5C%202l%2B2w%5Cleq20%20%5Cend%7Bgathered%7D)
Given;
The length is 6 feet;
![l=6](https://tex.z-dn.net/?f=l%3D6)
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
![\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202l%2B2w%5Cleq20%20%5C%5C%202%286%29%2B2w%5Cleq20%20%5C%5C%2012%2B2w%5Cleq20%20%5C%5C%202w%5Cleq20-12%20%5C%5C%202w%5Cleq8%20%5C%5C%20%5Cfrac%7B2w%7D%7B2%7D%5Cleq%5Cfrac%7B8%7D%7B2%7D%20%5C%5C%20w%5Cleq4%20%5Cend%7Bgathered%7D)
Therefore, the width of the garden bed must be less than or equal to 4 feet.
I did the problem myself and my teacher always said thatif you don't get the exact answer then round to the closest one. The answer that i got was 31,808.6, the closest one to that would be letter C.
Answer:
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Step-by-step explanation:
Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.
Let flat rental fee be c and cost per mile driven = m and miles driven = x
Total cost =y
Then y = mx+C is the linear equation.
to find m and c, we use the fact that y =110.30 when x = 222
i.e. 110.30 = c+222x
and similarly 99.05 = c+147x
Subtract to eliminate c
11.25 = 75 x
0.15 =x
Substitute in I equation
110.30 = c+222(0.15)
c = 77
Hence y = 0.15x+77 is the equation linear connecting total cost y and miles driven x