Answer:
See below
Step-by-step explanation:
Part A
Standard form is Ax + By = C
x - price of adult tickets, y - price of child tickets, the equation in the standard form is:
- 15x + 9y = 90 ⇒ 5x + 3y = 30
Part B
y-intercept is obtained when x = 0
- 15*0 + 9y = 90
- 9y = 90
- y = 10
It represents the amount of child tickets if no adult tickets sold
x-intercept is obtained when y = 0
- 15x + y*0 = 90
- 15x = 90
- x = 6
It represents the amount of adult tickets if no child tickets sold
Part C
Converting the equation into slope-intercept form of y = mx + b
- 5x + 3y = 30
- 3y = -5x + 30
- y = -5/3x + 30/3
- y = -5/3x + 10
Part D
- The slope is -5/3. It represents the negative ratio of ticket prices
