Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost
$48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?
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2 answers:
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Answer:
The inequality to determine the number of days, , Darcie can skip crocheting and still meet her goal is:
Thus, Darcie can skip a maximum of 15 days.
Step-by-step explanation:
Question
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.
Given:
Darcie has a target to crochet a minimum of 3 blankets.
Rate at which Darcie crochets = of a blanket per day.
Darcie has 60 days to crochet the blankets
To write an inequality to determine the number of days, , Darcie can skip crocheting and still meet her goal.
Solution:
The number of days Darcie can skip crocheting is represented by
So, number of days left for Darcie to crochet =
In 1 day Darcie crochets of a blanket.
So, in days she will crochet =
blankets.
Her aim is to crochet at least 3 blankets.
Thus, the inequality can be given as:
Solving for
Multiplying both sides by 15 to remove fractions.
Subtracting both sides by 60.
Dividing both sides by -1.
[ On dividing by negative number the sign of the inequality is reversed]
∴
Thus, Darcie can skip a maximum of 15 days.
Given equation is f(x)=-3x^3-x^2+1
We have to identify the graph that has same end behaviour as of given equation.
It seems that you have missed to attach the given graph in question. So i will explain about how to find correct graph.
Given function has highest exponent 3 so that means degree = 3
which is an odd number.
We know that graph of odd degree polynomial always starts and ends in opposite direction.
Leading coefficient of given function is -3 which is negative.
We know that when leading coefficient is negative then graph starts from top.
Hence graph of given function will start from top and go to the bottom as shown in picture.
Now any given graph which opens from up and ends in bottom will be answer.
All polynomials having odd degree and negative leading coefficient will also have similar graph.
