Let t be the number of tolls they crossed.
Amount they spent at each toll = $1.75.
Amount they spent at gas station = $28.
Let C be the total amount they spent on gas and tolls.
If they crossed 1 toll, then
C = 28 + 1.75(1).
If they crossed 3 tolls, then,
C = 28 + 1.75(3)
If they crossed t tolls, then,
C = 28 + 1.75t
Here, the terms are 28 and 1.75t and the factors are 1.75 and t.
Answer:
Step-by-step explanation:
Hello!
A linear function is written in the form of 
, where m is the slope and b is the y-intercept.
Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).
<h2>Slope</h2>
Slope can be calculated by the difference in the x-values divided by the difference in the y-values.
Solve
The slope is -1/4.
<h2 /><h2>Y-intercept</h2>
The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.
Solve
<h2>Equation</h2>
We can find the equation by simply plugging in all the values that we found.
Equation:
Answer:
Step-by-step explanation:
d = 7%2F2
-2, -2+7%2F2, -2+2%287%2F2%29, -2+3%287%2F2%29, 12
-2, -4%2F2+7%2F2, -4%2F2+14%2F2, --4%2F2+21%2F2, 12
-2, 3%2F2, 10%2F2, 17%2F2, 12
-2, 3%2F2, 5, 17%2F2, 12
Answer:
10,000 + 7,000 + 500 + 70 +4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
