1. A rental company charges a flat fee of $30and an additional $0.25per mile to rent a moving van. Write a linear equation to approximate the cost y (in dollars) in terms of x, the number of miles driven. How much would a 75-mile trip cost?
2. Jose, who is the SSG Business Manager, was given the task by the SSG President to canvass for a tarpaulin printing. He knew that in printing ad, the charge of tarpaulin printing is Php 12 per square foot and Php 100 for the lay outing. What is the equation that best represents the total cost y with x number of square feet including lay outing fee?
3. The height h of the candle in centimeters is a function of time t in hours it has been burning. It is described by the table below:
(nasa pic yung table)
SOLVING PROBLEMS INVOLVING LINEAR FUNCTION
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Verified answer
In the given problem, apply your knowledge in algebra and basic mathematics specially in solving word problems about linear equation.
Problem 1
Let
cost y (in dollars)
x (number of miles)
Given
flat fee of $30and an additional $0.25per mile
75-mile trip
Mathematical Equation
y = $30 + $0.25x
x = 75
y = $30 + $0.25(75)
y = $48.75
Answer: $48.75
Problem 2
Let
y is the cost
x is the number of square feet
Given
Php 100 for the lay outing
Php 12 per square foot
Mathematical equation
cost = lay out + cost per feet(number of feet)
y = 100 + 12(x)
y = 12x + 100
Answer: y = 12x + 100
Problem 3
t = 0, 1, 2, ... 5
h(t) = 10, 6, 4, ... 0
Thus, after 5 hours, the height of candle is 0 cm.
Answer: 5 hours
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