A company currently has 200 units of a product on hand that it orders every 2 weeks when the salesperson visits the premises. De
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(a) The equation of the tangent line can be written as
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line
(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line
(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)
Answer:
The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:
Step-by-step explanation:
The complete question is:
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
Solution:
Given:
Darcie wants to crochet a minimum of 3 blankets to donate.
Rate at which she crochet = of a blanket per day.
Maximum number of days she has = 60.
To find the number of days Dancie can skip out of 60 days and still reach her goal.
Let represent the number of days she can skip.
Number of days left to crochet = days
At rate of of a blanket per day, number of blankets Dancie can corchet in
days can be given as :
⇒
Simplifying using distribution.
⇒
⇒
Dancie needs to crochet a minimum of 3 blankets to reach her goal.
Thus, the inequality can be given as:
Solving the inequality for
Subtracting 4 both sides.
Multiplying both sides by -15.
[On multiplying by a negative number the sign of inequality reverse]
∴
Thus, Dancie can skip a maximum of 15 days.