Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
10 servings
Step-by-step explanation:
Divide the total juice available, 2 quarts, by the serving size, (1/5) quart per serving:
2 quarts 2 5
--------------------------- = ---- · ------ servings = 10 servings
(1/5) quart/serving 1 1
1/3 is 5/15 so you can fill 5/15 +5/15 (2bags) and you will have 2/15 pounds left
Answer:
its a
Step-by-step explanation:
Answer:
x<3
Step-by-step explanation:
5x+12+3x<36
First subtract 12 from both sides.
5x+3x<24
Next combine like terms on the left side (5x and 3x)
8x<24
Next divide 8 from both sides
x<3
