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?
a. The y-intercept of the function is 1.90. This represents the fixed cost of the hamburger, or the cost of the hamburger without any toppings.
b. The slope of the function is 1.40. This represents the additional cost of each topping.
c. To find the number of toppings on Jodi's hamburger, we can set the cost of the hamburger equal to $3.30 and solve for t:
1.90 + 1.40t = 3.30
Subtracting 1.90 from both sides gives:
1.40t = 1.40
Dividing both sides by 1.40 gives:
t = 1
Therefore, Jodi's hamburger had 1 topping.