A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the poi
nt (3, –2). The student’s work is shown to the left. Examine the steps to determine whether the student made an error. The student made .
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.
Answer:
Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.
Step-by-step explanation:
Let x represent number of 10-oz bags and y represent number of 16-oz bags.
We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:
We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be and cost of y 16-oz bags would be
.
At the end of one week, she collected $97.50. We can represent this information in an equation as:
Now, we will use substitution method to solve our system of equations. From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the number of 10-oz boxes sold be Jillian is 15.
Now, we will substitute in equation (1) to solve for y.
Therefore, the number of 16-oz boxes sold be Jillian is 9.