Your local gas station is having a price war. During the past 7 days, they have lowered the price of regular gas by $.02 each day. Define a variable. Then write and solve an equation to find the total change in gas price. Show your work.
I need help because I am stuck on this one. Thanks!
A variable is a quantity that may change within the context of a mathematical problem or experiment.
n-7x$0.02
n-$0.14
changed $0.14
This is my understanding of the problem. Apologies if it is incorrect.
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Sure! Let's define a variable to represent the total change in gas price. Let's call it "change_in_price".
Since the gas price is lowered by $0.02 each day, we can represent the total change in gas price as a sum of the changes over the 7 days. We can use the equation below to calculate the total change:
change_in_price = -0.02 - 0.02 - 0.02 - 0.02 - 0.02 - 0.02 - 0.02
Here, each term represents the decrease in gas price for each day.
Evaluating the equation, we have:
change_in_price = -0.02 - 0.02 - 0.02 - 0.02 - 0.02 - 0.02 - 0.02
= -0.14
Therefore, the total change in gas price over the past 7 days is a decrease of $0.14.
This is one solution I found via "Socratic Q&A":Explanation:
Let's let:
t
be the total change in the price of gas, what we are solving for in this problem.
d
be the number of days the prices has decreased. 7 for this problem.
c
be the change in price each day. -$0.02 for this problem (the price has been lowered so this number is negative).
The formula will be:
t
=
d
⋅
c
Substituting and calculating
t
gives:
#t = 7 * -$0.02$
t
=
−
$
0.14
$
Over the last 7 days the price of gas has changed
−
$
0.14