it cost $2 per day to place a one-line ad in the classifieds plus a flat service fee. one day cost $3 and four days cost $9.
write a linear equation that gives the cost in dollers, y, in terms of the nunber iof days,x.
find the cost of a six-day ad.
Actually you have more information than is necessary.
"it cost $2 per day to place a one-line ad in the classifieds plus a flat service fee" ---> y = 2x + b
"one day cost $3 " ---> x = 1, y = 3
3 = 2(1) + b
b = 1
equation: y = 2x + 1
(check: 4 days cost $9,
y = 2(4) + 1 = 9, Check!
so for 6 days
y = 2(6) + 1 = $13
To write a linear equation that gives the cost in dollars (y) in terms of the number of days (x), we can use the given information. We know that one day costs $3, which includes $2 per day for the one-line ad and an additional flat service fee. We also know that four days cost $9.
Let's break down the cost for four days:
- The cost per day is $2, so for four days, the cost for the ad itself would be 4 days * $2/day = $8.
- The remaining $1 is the flat service fee.
Now we can write the linear equation to represent the cost in terms of the number of days:
y = mx + b
The slope (m) represents the cost per day, and the y-intercept (b) represents the flat service fee.
From the information given, we have:
m = $2/day (cost per day)
b = $1 (flat service fee)
Therefore, the linear equation is:
y = 2x + 1
To find the cost of a six-day ad, substitute x = 6 into the equation:
y = 2(6) + 1
y = 12 + 1
y = $13
So, the cost of a six-day ad would be $13.