1)Susan wants pizza for her birthday party. It costs $8 per pizza plus a $5 delivery fee. She doesn't know how many she needs, so she calculates the price for various numbers of pizza.
How would I find out if this is linear or non-linear
cost = 8 n + 5
that is of form
y = m x + b
which graphs as a straight line with y intercept 5 and slope 8
To determine if this scenario is linear or non-linear, we need to see if there is a constant rate of change. In this case, the cost of the pizza increases by a fixed amount with each additional pizza.
Let's calculate the total cost for different numbers of pizzas:
1 pizza:
Cost = ($8 per pizza) + ($5 delivery fee) = $13
2 pizzas:
Cost = (2 * $8 per pizza) + ($5 delivery fee) = $21
3 pizzas:
Cost = (3 * $8 per pizza) + ($5 delivery fee) = $29
Based on the calculations, we can observe that for each additional pizza, the cost increases by the same value of $8. This indicates a constant rate of change, suggesting that the scenario is linear.
In summary, by analyzing the calculations and observing that the cost increases by a consistent amount for each additional pizza, we can conclude that the scenario of calculating the total cost of pizzas for Susan's birthday party is linear.