question 1. What will Amanda pay if she rents a truck and drives 45 miles and splits the total cost with two friends? Explain with details?
question 2. find the interpret the slope for the graph.
question 3. how much does it cost to rent a truck for a day?
please answer please I really need the answer asap
Answers
Answer:
A) Amanda will pay $47.5
B) 0.5
C) $120
Step-by-step explanation:
A) From the graph given, at 45 miles, the total cost of rentage = $142.50
She now splits this cost with 2 of her friends. Thus each of them will pay;
Amount = 142.5/3 = $47.5
So,Amanda will pay $47.5
B) To find the slope, we will pick two points on the graph and use their respective coordinates to find the slope.
Coordinates we pick are;
(0, 120) and (50, 145)
Thus, slope; m = (y2 - y1)/(x2 - x1)
m = (145 - 120)/(50 - 0)
m = 25/50
m = 0.5
C) The equation for the graph will now be; y = mx + c
Where m is slope and c is y - intercept.
Thus;
y = 0.5x + 120
Coincidentally, c = 120 will be the fixed price of the truck while 0.5x will be the variable cost depending on how many miles are driven.
Thus renting for a day is simply the fixed cost of $120
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[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]
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[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]
Hence, the sum of the first 6 terms of the following series is 540.
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