A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per month, all 60 units are occupied. However, when the rent is $630 per month, the average number of occupied units drops to 46. Assume that the relationship between the monthly rent p and the demand x is linear. Select the equation of the line giving the demand x in terms of the rent p.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Select the equation of the line giving the demand x in terms of the rent p.
13)Charlie's Chocolate Factory purchases a taffy-pulling machine for $885. The machine has a useful life of 5 years after which time another one will have to be purchased. Assume depreciation of the machine is linear. Write a linear equation giving the value V of the taffy-pulling machine during the 5 years it will be in use.
12)Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Select the correct answer for the line.p(-7,6 )m=-3
9)Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line.
point: (–4, 9) line: 6x - 30y = 6
8)Determine whether the lines are parallel, perpendicular, or neither.
L1: y = 9/2x – 9
L2: y = –2/9x – 2
6)Find the slope of the line passing through the pair of points.
P(5, 4); Q(9, 20).
5)Determine whether the lines are parallel, perpendicular, or neither.
L1: y =1/2 x – 4
L2: y = –1/2x – 2
4)The length and width of a rectangular garden are 16 meters and 11 meters, respectively. A walkway of width x surrounds the garden.
Write the equation for the perimeter y of the walkway in terms of x.
3)Use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is
2)Determine whether the lines are parallel, perpendicular, or neither.
L1: y = 1/3x – 5
L2: y =1/3 x – 3
1)Determine whether the line through the given points and the line through R(8,7) and S(5,14) are parallel, perpendicular, or neither.
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