Answer:
1.
a. The y-intercept is 1.90 and it represents the cost of a hamburger with no toppings.
b. The slope is 1.40 and it means that for each topping added, the cost of the hamburger increases by $1.40.
c. Jodi's burger had one topping.
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2.
a. The y-intercept is $2.25 and it represents the cost of an ice cream sundae with no toppings.
b. The slope is $0.75 and it means that for each topping added, the cost of the sundae increases by $0.75.
c. Kaye's sundae had 5 toppings.
Explanation:
Background info:
The equations for 1. and 2. are in the slope-intercept form of a line, whose general equation is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
- Both equations put the y-intercept first because we're dealing we're dealing with cost and cost increases when more toppings are added.
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1.
a.
- The y-intercept is 1.90 and it represents the cost of a hamburger with no toppings.
b.
- The slope is 1.40 and it means that for each topping added, the cost of the hamburger increases by $1.40.
c.
Since Jodi paid $3.30 for a hamburger, we can determine how many toppings were on it by substituting 3.30 for f(t) and solving for t (i.e., the number of toppings on the hamburger):
3.30 = f(t)
(3.30 = 1.90 + 1.40t) - 1.90
(1.40 = 1.40t) / 1.40
1 = t
Thus, Jodi's burger had one topping.
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2.
a.
- The y-intercept is $2.25 and it represents the cost of an ice cream sundae with no toppings.
b.
- The slope is $0.75 and it means that for each topping added, the cost of the sundae increases by $0.75.
c.
Since Kaye paid $6.00 for a sundae, we can determine the number of toppings on it by substituting 6.00 for f(t) and solving for t (i.e., the number of toppings on the sundae):
6.00 = f(t)
(6.00 = 2.25 + 0.75t) - 2.25
(3.75 = 0.75t) / 0.75
5 = t
Thus, Kaye's sundae had 5 toppings.