Math 3a Worksheet With Answers - Pocatello/chubbuck School District 25

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3A Worksheet 3A
Short Answer
Find an equation for the line:
5
1. through (2, 6) and perpendicular to y = 
x + 1.
4
2. through (–7, –4) and vertical.
Determine whether y varies directly with x. If so, find the constant of variation k and write the
equation.
3.
x
y
6
7.2
11
13.2
16
19.2
21
25.2
4. A cannery processed 605 pounds of strawberries in 3.5 hours. The cannery processed 2100 pounds in 10
hours.
a.
Write a linear equation to model the weight of strawberries S processed in T hours.
b.
How many pounds of strawberries can be processed in 12 hours?
5. The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112
miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?
6. Make a mapping diagram for the relation.
{
(–1, –3), (0, 1), (3, –1), (4, –6)
}
7. Graph the set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its
equation.
{(1, 7), (–2, 1), (3, 13), (–4, –3), (0, 5)}
Write in standard form an equation of the line passing through the given point with the given slope.
8. slope = –8; (–2, –2)
Determine whether y varies directly with x. If so, find the constant of variation k.
9. 8y = 7x – 27
Find the value of y for a given value of x, if y varies directly with x.
10. If y = 4.8 when x = 2.4, what is y when x = 2.05?

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