The function below shows the cost of a hamburger with different numbers of toppings (t).

f(t) = 1.90 + 1.40t
a. What is the y-intercept, and what does it mean?

b. What is the slope, and what does it mean?

c. If Jodi paid $3.30 for a hamburger, how many toppings were on Jodi’s hamburger?

1 answer

a. The y-intercept of the function is 1.90. This means that when the number of toppings (t) is 0, the cost of the hamburger is $1.90.

b. The slope of the function is 1.40. This means that for each additional topping, the cost of the hamburger increases by $1.40.

c. Let's substitute the given cost of $3.30 into the function and solve for t:

3.30 = 1.90 + 1.40t

Subtracting 1.90 from both sides:

3.30 - 1.90 = 1.40t

1.40 = 1.40t

Dividing both sides by 1.40:

t = 1

Therefore, there was 1 topping on Jodi's hamburger.