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 is the value of f(t) when t = 0. In this case, the y-intercept is 1.90. It represents the cost of the hamburger without any toppings.
b. The slope is the coefficient of t, which is 1.40 in this case. It represents the change in cost for each additional topping. In other words, for each topping added, the cost of the hamburger increases by $1.40.
c. To find the number of toppings on Jodi's hamburger, we can set f(t) = 3.30 and solve for t in the equation 1.90 + 1.40t = 3.30.
1.40t = 3.30 - 1.90
1.40t = 1.40
t = 1
Therefore, Jodi's hamburger had 1 topping.