Solutions
Is (6, -10) a solution to this equation?
7x - 2 + 4y =36
NO
Find the slope of the line passing through (−2, 5) and (−4, 1)
m=2
Data indicates the number of global flu cases has risen sharply since the year 2000. The equation y = 5.3x + 47 approximates the number of global flu cases y (in millions), where x=0 corresponds to the year 1990.
What value for X corresponds to the year 2006?
x= 16
Find the y-intercept for the following equation?
3𝑥+𝑦=4
(0,4)
In the year 2009, the average annual cost to employees for employer family health coverage was approximately $4000. In 2014, that amount was approximately $5000.
Write a linear equation expressing the average annual cost to employees y in terms of the number of years x after 2000.
BONUS: What will be the first full year in which costs exceed $6500?
y = 200x + 2200
Is (2, -13) a solution to this equation?
y - xy = 2x2 + 3x - 1
YES
Find the slope of 3x − 2y = 6
m= 3/2
Find the x-intercepts of the equation?
x−3y=7
(7,0)
Find the y-intercept of the following equation
6𝑥+15𝑥𝑦−14𝑦=7
(0, -0.5)
The price per pound of chicken thighs in the US was $0.60 around in the year 2002 and $1.25 per pound in 2012. X=12
a. If the price of meat is linear, express the price per pound of thigh meat y in terms of the number x of years since the year 2000.
y= 0.065x + 0.047
Is (9,5) a solution to this equation?
(x - 3)2 + (y + 5)2 = 136
YES
Find the slope given (5, −4) or (−11, −3)
m= -1/16
Identify the slope and x-intercept of 4𝑥 + 3𝑦 = 24
m= 4/3
x-int: (6,0)
Suppose the sakes of a particular brand of appliance satisfy the relationship S= 250x + 200, Where S represents the number of sales in year x, with x=0 corresponding to 1982. Find the number of sales in 1994?
3,200 sales
A computer that costs $1950 new is expected to depreciate linearly. Its values is expected to be $1200 five years from now?
What is the equation of this depreciation function?
y = -150x + 1950
Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form.
(5,3), undefined slope.
x=5
Write the equation of the line that passes through the points (5, 17) and (-9, 17).
y=17
The gross federal debt y (in trillions of dollars) for a certain country in year x is approximated by the following equation, where x is the number of years after 2000.
y = 1.14x + 1.45
Assuming the trend continues, in what year will the federal debt be $33.37 trillion?
2028
The total revenuegenerated from hospital care (in billionsof dollars) can be approximated by y = 40.89x+ 405.3, where ×=1corresponds to the vear 2001.
a. What was the approximate revenue generated from hospital stays in 2010?
$814.2 billion
According to data from the US Drug Enforcement Administration, the total seizure of drugs (in millions of pounds) was 1.5 in the year 2000 and 4.5 in the year 2010.
a. Write a linear equation expressing weight in pounds from the seizure of drugs y in terms of x, the number of years since 2000.
b. How much was seized in 2007?
a. y = 0.3x + 1.5
b. 3.6 million pounds
Find the x-intercept and y-intercept for the following:
y=x2 + x - 20
X intercept: (-5, 0) (4,0)
Y intercept: (0, -20)
Write the equation of the line that passes through the points (-4, -2) and (0, 3)
y= 5/4x + 3
The amount y ( in billions of dollars) of income take in by a certain country's social security administration for old-age and survivors insurance in year x can be approximated by the equation 117.3 (x - 2010) = 5y - 1374.95.
Find the year in which 767.65 billions of dollars will be taken in?
2031
The gross federal debt y (in thousands of dollars) in year x can be approximated by 𝑦 = 1.15𝑥 + 1.82, where x is the number of years after 2000.
a. Find the federal debt in the year 2015.
$19,070
The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 218.1 in 2011 and 231.5 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2013. Assume that the data can be modeled by a straight line and that the trend continues indefinitely.
In 2013 the CPI would be?
223.46