Answer:
y = 1.4x + 21.4
Step-by-step explanation:
Given :
Total cost and number of units made have a linear relationship
Mathematically,
Total cost, y = b * number of units made, x + c
If cost increases by $1.4 for each additional unit, the slope, b = 1.4
If total cost of 24 units = $55
Total cost = 1.4 * number of units made + c
55 = 1.4*24 + c
55 = 33.6 + c
c = 55 - 33.6
c = 21.4
c = intercept
The linear relationship between total cost and number of units made is :
y = 1.4x + 21.4
The arithmetic mean a n of the given terms a n₋₁ = 0.3, a n₊₁ = 1.9 is
a n = 1.6.
<h3>What is direct variation?</h3>
a n₋₁ = 0.3, a n₊₁ = 1.9
a n = a - a
a n = 1.9 - 0.3
a n = 1.6
Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.
The formula y = kx is used to answer direct variation questions. If finding the proportionality constant is necessary, the answer is obtained by dividing y by x.
To learn more about direct variation from the given link:
brainly.com/question/14254277
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We are given: Initial amount of the gas = 30 gallons.
Milage of the Troy’s truck = 21 miles per gallon.
Number of gallons of gas used in 1 miles = 1/21 gallons.
Let us assume, number of miles Troy truck travel = m miles.
Number of gallons of gas used in travelling m miles = m * 1/21 = 1/21 m.
And number of gallons of gas left after travelling m miles = g gallons of gas.
Number of gallons of gas = Total gas present initially - Number of gallons gas used to travel m miles.
Therefore, we can setup an equation.
g = 30 - 1/21 m.
Answer:
119.32 miles
Step-by-step explanation:
radius=19 miles
circumference =2×3.14×19 miles