59.9k views
1 vote
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Your local gas stations are 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.

User Jeff Wight
by
4.9k points

1 Answer

3 votes

Enter your answer and show all the steps that you use to solve this problem in the space provided. Your local gas stations are 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.​

step 1

define the variables

x -----> number of days

y ----> the total charge

P ---> intial price before the 7 days

the linear equation in slope intercept form is equal to

y=mx+b

In this problem we have

m=-0.02 ( is teh slope or unit rate)

b=P ( is the y-intercept or initial value)

substitute

y=-0.02x+P

For x=7 days

y=-0.02*(7)+P

y=-0.14+P ----> this is the equation for the price after 7 days

the total change in 7 days is -$0.14

User Mmlr
by
4.6k points