Answer:
See below
Step-by-step explanation:
<h3>Part A</h3>
Standard form is Ax + By = C
<u>x - price of adult tickets, y - price of child tickets, the equation in the standard form is:</u>
- 15x + 9y = 90 ⇒ 5x + 3y = 30
<h3>Part B</h3>
<u>y-intercept is obtained when x = 0</u>
- 15*0 + 9y = 90
- 9y = 90
- y = 10
It represents the amount of child tickets if no adult tickets sold
<u>x-intercept is obtained when y = 0</u>
- 15x + y*0 = 90
- 15x = 90
- x = 6
It represents the amount of adult tickets if no child tickets sold
<h3>Part C</h3>
<u>Converting the equation into slope-intercept form of y = mx + b</u>
- 5x + 3y = 30
- 3y = -5x + 30
- y = -5/3x + 30/3
- y = -5/3x + 10
<h3>Part D</h3>
- The slope is -5/3. It represents the negative ratio of ticket prices
-1 C, that's the only logical answer I can think of. Or does it have to be in F?
I believe it would be 6m^2 because if she increased the size of all sides by .5 then that would make it 1.5 to each side and 1.5*4 because i assume the garden is a square then you would have 6m^2
Sandy: 10x + 5
Kimmi: 25x
If we want to know when the fees will be the same, we set the equations equal to each other and solve for x:
10x + 5 = 25x
5 = 15x
x = 3
So the number of children has to be 3.
Answer:
Cost of item : $6
Tax rate : 5%
Amount of tax = $0.3
Total cost = $6.30
Step-by-step explanation:
Cost of item : $6
Tax rate : 5%
Amount of tax = 5% * $6 = 0.05*6 = $0.3
Total cost = $6 + $0.30 = $6.30