The slope equals $0.10 (since $1.00 per 10 tokens translates to $0.10 per token)
The y-intercept is $60 (the fixed yearly membership fee)
The linear equation is y = 0.10x + 60 (following y = mx + b)
The domain consists of all x values where x ≥ 0 (negative token quantities are impossible)
The range includes all y values with y ≥ 60 (plugging the domain values into the function)
The y-intercept of this function stands at $60
Complete question;
A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a
total of 18 pizzas for the event, totaling $212.
Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.
Answer:
13x + 11y = 212
Step-by-step explanation:
Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.
The overall expenditure on the pizzas was $212.
total number of pizzas = 18
total amount spent on pizzas = $212
x represents the number of pepperoni pizzas
y represents the number of plain pizzas
The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.
Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.
13x + 11y = 212
Answer:
Table A- Proportional relationship
Graph- Nonproportional relationship
Table B- Proportional relationship
Equation- Proportional relationship
Step-by-step explanation:
Answer:
1. Both directions
2. Only in one direction
Step-by-step explanation:
The reason Statement 1 can occur both ways is that if Bo and Mel are connected, it holds true forward and backward.
The reasoning for Statement 2 being one-directional is that if the sprinklers are operating, then the grass is wet will be valid since it's stating ONLY that the sprinklers are on. If it were to reverse and the grass is wet ONLY because of the sprinklers, then it's incorrect as rain could also cause the grass to be wet. Thus, there are numerous possibilities for the grass being wet, which explains the answers.
Result:
6.1°; 425.86 m.
Step-by-step breakdown:
The information provided states that the airplane is at an altitude of 5.7 miles above ground level, while the "radius of Earth is about 4000 miles." Thus,
θ = 2 × cos^-1 (a/ (a + b)), where a = 4000 miles, and b = 5.7 miles.
θ = 2 × cos^-1 (4000/ (4000 + 5.7)) = 6.1°.
To calculate the distance in meters:
Change in distance = 6.1° /360° × 2π × 4000 miles = 425.86 meters.
Consequently, BD⌢ measures at 6.1° and the distance corresponding to this section of Earth is 425.86 meters.
