Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that goal? Write and solve an inequality.
A. 6 + x ≥ 360; x ≥ 354
B. 60x ≤ 360; x ≤ 10
C. x over 6 ≤ 360; x ≤ 2,160
D. 6x ≥ 360; x ≥ 60 ***
"D" is the correct answer.
6(the amount of money each week) should be greater than or equal to 360.
360/6= 60
You would save 60 per week.
thank you !!
Thanks!
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Algebra 1 A Semester Exam: Algebra 1 A Semester Exam (unit 7, lesson 2)
1. Which property is illustrated by the statement?
(3 + 2.8) + 5 = 3 + (2.8 + 5)
D: Associative Property of Addition
2. To which subset of real numbers does the number 1/4 belong?
A: Rational numbers
3. What is the algebraic expression for the following word phrase: the product of 2 more than y and 7?
A: 7(y+2)
4. What is the simplified form of the expression √1/121?
B: 1/11?
5. Evaluate x/y for x=2/3 and y=6/7.
A: 7/9
6. Simplified the expression (2/9)^2.
A: 4/81
7. What is the simplified expression 7[63÷(5^(2)-2^(2))-1]
C: 14
8. Which is a solution of the equation y=4x+3?
C: (4,19)
***Questions 9-12 Solve the equation***
9. 2z-5=11
B: z=8
10. -15=a/5
D: a=-75
11. 7(2b-5)+3=10
D: b=3
12. 8x-5>=27
A: x>=4
13. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that goal? Write and solve the inequality.
D: 6x>=360;x>=60
14. Choose the correct solution graph for the inequality.
-9x>54
A: (line plot with an open circle on -6, going left.)
15. Choose the correct solution graph for the inequality.
12x=4>=16 or 3x-5<=-14
C: (line plot with a solid dot on -3, going left and another solid dot circle on 1, going right.)
16. Solve.
|y-9|=6
C: y=3, y=15
17. School yearbooks were printed, and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release. Which graph could represent the data shown in the table?
Week | # of Sales
1 84
2 102
3 158
4 271
A: (points on the graph go up in a slightly curved line.)
18. The table shows the relationship between two variables. Which selection describes the relationship?
X | Y
1 5
2 -1
3 -7
4 -13
C: Decreasing; linear
19. Suppose soda is on sale for $0.50 a can, and you have a coupon for $0.80 off your total purchase. Write a function rule for the cost of n cans of soda.
B: C(n)=0.50n-0.80
20. Determine which of the mapping diagrams represents a relation that is NOT a function.
A: -2 --> -3 and 5
-1 --> 8
6 -->9
21. Tell whether the sequence is arithmetic. If it is, what is the common difference?
-15, -9, -3, 3 . . .
C: Yes, 6
22. What is the graph of the function rule?
y=|2x|+1
D: (Triangle goes downwards and the point meets up at 1)
23. For the data in the table, does y vary direct with x? If it does, write an equation for the direct variation.
X | Y
3 6
6 18
8 24
D: No; y does not vary direct with x
24. Match the equation with its graph.
4x-7y=-28
A: (y intercept at 4, going up)
25. Find the slope (rate of change) of the line.
C: -3
26. What is the slope of the line that passes through the pair of points?
(-6,8) and (2,3)
D: -5/8
27. What is the slope (rate of change) of the line?
C: 0
28. Write an equation in point-slope form for the line through the given point with the given slope.
(-7,9); m=4/5
C: y-9=4/5(x-7)
29. The table shows the height of a plant as it grows. What equation in slope-intercept form gives the plant's height at any time?
Time (Weeks) | Height (Inches)
2 8
4 15
6 22
8 29
A: y=7/2x+1
30. Write y=-2/3x-4 in standard form using integers.
A: 2x+3y=-12
31. Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.
y=-3/4x+2
3x-4y=-8
C: Neither
32. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y-3=-1/5(x+2);(-2,7)
B: y=5x+17
33. Graph y=|x+1|.
B: (triangle goes downward, point meets at -1 on the x-axis)
34. Which type of correlation is suggested by the scatter plot?
A: Positive correlation
35. A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distance (in miles).
Time | Miles
7 1
16 2
30 3
35 4
57 6
75 8
106 10
132 12
What is the correlation coefficient of the set of data? Round your answer to the nearest thousandth.
B: 0.996
36. A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distance (in miles).
Time | Miles
7 1
16 2
30 3
35 4
57 6
75 8
106 10
132 12
About how long would you expect it to take this runner to run 17 miles? Find a line of best fit for this data and use it to take your prediction.
D: 183 minutes
37. You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.793. How confident can you be that your predicted value will be reasonably close to the actual value?
B: I can be a little confident; it might be close, or it might be way off
D. 6x ≥ 360; x ≥ 60
To determine how much money you must save each week in order to meet your goal of saving at least $360.00 over the next 6 weeks, you can use the equation: 6x ≥ 360.
Here's how to solve this inequality:
1. Start by isolating the variable x by dividing both sides of the inequality by 6: x ≥ 360/6.
2. Simplify the right side of the equation: x ≥ 60.
Therefore, the correct answer is D. 6x ≥ 360; x ≥ 60. This means that in order to meet your savings goal, you need to save at least $60.00 each week for the next 6 weeks.