Answer:
The cost of soft drink is $0.95
Step-by-step explanation:
Let the cost of hot dog be x
Cost of 2 hot dogs = 2x
Let the cost of soft drink be y
Cost of 3 soft drinks = 3y
At a cost restaurant the cost for a hot dog and a soft drink is $2.10.
So, x+y=2.10
The cost for two hot dogs and three soft drinks is $5.15
So, 2x+3y=5.15
Plot the lines on the graph:
x+y=2.10 --Purple line
2x+3y=5.15 --- Black Line
Intersection point =(x,y)=(1.15,0.95)
Hence The cost of soft drink is $0.95
1
∫ f(x) dx = x⁵/5 + 3x⁴/4 - 5x³/3
-1
[1⁵/5 + 3⁴/4 - 5³/3] - [ -1⁵/5 -3⁴/4 +5³/3]
plug that into your calculator and that's your rate of change
Y = 4x - 1
// Plug this in for variable y in equation [1]
[1] 20x - 5•(4x-1) = 5
[1] 0 = 0 => Infinitely many solutions
Cost of the total miles travelled
= $191.24 - $17.99
= $173.25
Miles travelled
= $173.25 ÷ 0.75
= 129.9375 miles
≈ 130 miles (3s.f)
