Question

The function below describes the total cost, y, of a hamburger with a toppings on it.

y= 1.90 + 1.40x
What does the slope mean in terms of the context?
O The cost of the hamburger will decrease by $1.90 per topping.
O The cost of the hamburger will increase by $1.90 per topping.
O The cost of the hamburger will increase by $1.40 per topping.
O The cost of the hamburger will decrease by $1.40 per topping.

Answer 1

O The cost of the hamburger will increase by $1.40 per topping.

Explanation:

• y = 1.90 + 1.40x
• → $1.90 is the fixed cost of the hamburger
• → $1.40 is the price per topping and it will increase as the slope of the function/graph is positive
• ⇒ Option 3

Answer 2

The cost of the hamburger will increase by $1.40 per topping

Explanation:

Given equation:

y = 1.90 + 1.40x

where

• y = total cost of hamburger
• x = number of toppings

The slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).

Rearranging the given equation to this form: y = 1.40x + 1.90

Therefore, 1.40 is the slope and 1.90 is the y-intercept.

The slope is the rate of change. This is the amount by which y will change with respect to changes in x. The slope is positive, so as x increases, y will increase.

Therefore, the cost of the hamburger will increase by $1.40 per topping.