Yunika downloaded three applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.99 each.
If she downloaded x total applications, which of the following equations can be used to find how much Yunika spent on cell phone application downloads?
The equation that can be used to find how much Yunika spent on cell phone application downloads is:
Total cost = (3 * 2.99) + ((x - 3) * 1.99)
in y=mx+b
The equation in y=mx+b format to find how much Yunika spent on cell phone application downloads can be written as:
y = (3 * 2.99) + ((x - 3) * 1.99)
where:
y represents the total cost of cell phone application downloads
m represents the cost of one application ($2.99 for the first 3 applications)
x represents the total number of applications downloaded
b represents any additional cost if applicable (in this case, there is no additional cost)
cation downloads?
A.
y = 8.97x + 1.99
B.
y = 1.99x + 8.97
C.
y = 8.97(x - 3) + 1.99
D.
y = 1.99(x - 3) + 8.97
The correct equation is option A:
y = 8.97x + 1.99
A reforestation drive is conducted in a town. The town had 2,096 trees at the start of the drive. Four months after the start of the reforestation drive, the town had 4,717 trees.
If n represents the number of months and T represents the number of trees, which of the following equations can be used to model this situation?
The equation that can be used to model this situation is:
T = mn + b
where:
T represents the number of trees
n represents the number of months
m represents the rate of change of trees per month (slope)
b represents the initial number of trees at the start of the drive (y-intercept)
To find the equation, we can use the information given:
At the start of the drive (n = 0), there were 2,096 trees, so we can substitute this into the equation:
2,096 = m(0) + b
2,096 = b
At 4 months (n = 4), there were 4,717 trees, so we can substitute this into the equation:
4,717 = m(4) + 2,096
4,717 - 2,096 = 4m
2,621 = 4m
m = 2,621/4
m = 655.25
Therefore, the equation that models this situation is:
T = 655.25n + 2,096
Hence, the correct equation is:
T = 655.25n + 2,096
Gus has a lunch food budget of $220 per month. He spends an average of $7 per day on lunch. Which of the following equations represents how much money is left in his lunch budget after x days of buying lunch?
The equation that represents how much money is left in Gus's lunch budget after x days of buying lunch is:
Money left = (Total budget) - (Money spent on lunch)
To find the money spent on lunch, we multiply the cost per day ($7) by the number of days (x):
Money spent on lunch = 7x
Substituting it into the equation, we get:
Money left = (Total budget) - (7x)
Given that Gus has a lunch food budget of $220 per month, we can substitute it into the equation:
Money left = 220 - 7x
Hence, the correct equation is:
Money left = 220 - 7x