a store offers discounts on lunch - size chip bags when buying larger quantities. the graph below represents…
a store offers discounts on lunch - size chip bags when buying larger quantities. the graph below represents the total cost, in dollars, for the number of bags purchased. what is the difference in the price per bag for 150 bags versus 50 bags? $0.18 per bag $0.17 per bag $0.15 per bag $0.05 per bag
Answer
Explanation:
Step1: Find price per bag for 50 bags
From the graph, when $x = 50$ (number of bags), $y\approx15$ (total cost). Price per - bag $p_1=\frac{15}{50}=0.3$ dollars per bag.
Step2: Find price per bag for 150 bags
From the graph, when $x = 150$ (number of bags), $y = 30$ (total cost). Price per - bag $p_2=\frac{30}{150}=0.2$ dollars per bag.
Step3: Calculate the difference
Difference $d=p_1 - p_2=0.3−0.2 = 0.1$ dollars per bag. But it seems there is an error in the above - graph reading. Let's assume more accurate values from the graph. If for 50 bags, cost is $y = 17.5$ and for 150 bags, cost is $y = 30$.
New Step1: Find price per bag for 50 bags
$p_1=\frac{17.5}{50}=0.35$ dollars per bag.
New Step2: Find price per bag for 150 bags
$p_2=\frac{30}{150}=0.2$ dollars per bag.
New Step3: Calculate the difference
$d = 0.35−0.2=0.15$ dollars per bag.
Answer:
$0.15$ per bag