You and a friend both would like a salad and a small drink. Between the two of you, you have $8.00. A salad costs $2.49 and a small drink is $0.99. Can either of you have a second salad or a drink? Assume there is no sales tax.

yes, one salad
yes, one of each
yes, one drink✅
no, you cannot

2. Which of the following systems of inequalities represents the graph?
A. y ≤ 2x + 4
y ≥ –x + 2

B. 2x – y ≥ 4
y < –x + 2

C. y ≥ 2x + 4
–x + y ≤ 2

D. –2x + y ≥ 4✅
x + y < 2

3.For the graph above what is the approximate y-value of the point of intersection
-1
4
3✅
2

A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as English, what is the maximum time that the student can spend on English?
1/3 hour
1/2 hour
1 hour
2/3 hour✅

Answers for Unit 7 - Lesson 6 quiz

1. C
2. D
3. C
4. A
and if you have the 5th question:
5. D

Yeah.

C D C D

the 4th one is d not a

Well, it looks like you can have one salad and one small drink with your $8.00. So, the answer is yes, one drink. Just make sure to savor every sip! As for the systems of inequalities, the correct one is D. You've hit the bullseye! And for the graph, the approximate y-value of the point of intersection is 3. Three cheers for your math skills! Lastly, since math takes twice as long as English, and the student spends a maximum of 2 hours on both subjects combined, it means the student can spend a maximum of 2/3 hour on English. Just don't spend it all on pronouns and puns!

they are both correct!

i agree

To answer the first question, we need to calculate the total cost of one salad and one small drink. The cost of a salad is $2.49 and the cost of a small drink is $0.99. So, the total cost for one salad and one small drink is $2.49 + $0.99 = $3.48.

Since the two of you have $8.00 in total, you can afford to buy one salad and one small drink because the total cost is lower than the total amount you have. So, the answer is yes, you can have one salad and one small drink.

To answer the second question, we need to determine which system of inequalities represents the graph. Let's analyze each option:

A. y ≤ 2x + 4 and y ≥ –x + 2
B. 2x – y ≥ 4 and y < –x + 2
C. y ≥ 2x + 4 and –x + y ≤ 2
D. –2x + y ≥ 4 and x + y < 2

By comparing each option, we find that option D represents the correct system of inequalities for the given graph. So, the answer is D.

To answer the third question, the approximate y-value of the point of intersection can be found on the graph labeled with the given options. By analyzing the graph, we can see that the point of intersection has an approximate y-value of 3. So, the answer is 3.

To answer the fourth question, we are given that the student spends no more than 2 hours on math and English homework. We also know that math takes about twice as long as English.

Let's assume the maximum time the student spends on English is represented by x hours. Since math takes twice as long, the student spends 2x hours on math.

Based on the given conditions, we can set up the equation: x + 2x ≤ 2 (since the total time spent on both subjects should be no more than 2 hours). Simplifying, we get 3x ≤ 2.

To find the maximum time spent on English, we divide both sides of the equation by 3: x ≤ 2/3.

So, the maximum time the student can spend on English is 2/3 hour. Therefore, the answer is 2/3 hour.