اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
If a table shows that 2 pounds of apples cost 6$ and 5 pounds cost 15$, what is the constant of proportionality k?
Explanation
The constant of proportionality k is found by dividing the total cost by the quantity: 6 / 2 = 3 or 15 / 5 = 3.
Question 2
Points: 1
Sadie ordered a pizza with a fixed delivery fee of 3.50. The total cost (c) is determined by the price of the pizza (p) plus the delivery fee, using the rule: c = p + 3.50. If the price of the pizza is 12.00$, what is the total cost?
Explanation
Substitute the price p = 12.00 into the given equation: c = 12.00 + 3.50 = 15.50.
Question 3
Points: 1
The table below shows the relationship between the number of hours a handyman works (h) and the total amount he charges in dollars (d). Which equation represents the relationship between the number of hours (h) and the total charge (d)?
Explanation
The ratio of charge to hours is constant: 50/2 = 25, 75/3 = 25, and 125/5 = 25. Therefore, the equation is d = 25h.
Question 4
Points: 1
In the proportional relationship equation y = kx, what is the specific term used in the text to describe the constant k?
Explanation
In the equation of a proportional relationship y = kx, the variable k is called the constant of proportionality.
Question 5
Points: 1
Which equation represents a proportional relationship between x and y?
Explanation
A proportional relationship is an equation of the form y = kx, where there is no constant added or subtracted.
Question 6
Points: 1
If a car travels 150 miles in 3 hours at a constant speed, what is the constant of proportionality (k) in miles per hour?
Explanation
The constant of proportionality k is the speed (miles per hour), calculated as 150 / 3 = 50.
Question 7
Points: 1
The table below shows the total cost (c) of renting a canoe for a certain number of hours (h). The cost includes a fixed one-time rental fee plus an hourly rate. Which two-step equation represents the total cost of renting a canoe for h hours?
Explanation
The hourly rate is the change in cost: 27 - 16 = 11. The fixed fee is the cost at 1 hour minus the hourly rate: 16 - 11 = 5. Thus, c = 11h + 5.
Question 8
Points: 1
Which of the following must be true for a graph to represent a proportional relationship?
Explanation
A proportional relationship is always represented graphically by a straight line that passes through the origin (0,0).
Question 9
Points: 1
If a proportional graph passes through the point (2, 10), what is the constant of proportionality (k)?
Explanation
For a proportional graph, the constant of proportionality k = y / x. Here, 10 / 2 = 5.
Question 10
Points: 1
The graph shows the total cost c of buying one large bucket of popcorn and d large drinks at a movie theater. Which equation correctly represents the relationship shown in the graph?
Explanation
The graph starts at c=4 (the popcorn bucket). When drinks d=1, cost c=12. The slope is 12 - 4 = 8. The equation is c = 8d + 4.
Question 11
Points: 1
A school sells tickets to a play for 8$ each. The ticket company adds a 2.50$ processing fee to the total order. Which equation can be used to find the total cost (c) for buying (t) tickets?
Explanation
The total cost includes 8 dollars per ticket plus a one-time fee of 2.50 dollars, giving the equation c = 8t + 2.50.
Question 12
Points: 1
A store charges 1.70$ for a fountain soft drink. The total cost c of d soft drinks is calculated using the rule 1.7d. Using the table below, what is the missing total cost when 3 soft drinks are purchased?
Explanation
Using the rule 1.7d where d=3: 1.7 × 3 = 5.10.
Question 13
Points: 1
Mr. Hamilton has 144 pencils to give to his students. The number of pencils p each student will receive is equal to 144 divided by s, the number of students. Which of the following numbers should be entered into the input column (top to bottom) in order to complete the table?
Explanation
To find s, solve 144/s = p. For p=12, s=12; for p=9, s=16; for p=6, s=24.
Question 14
Points: 1
Heath is selling magazine subscriptions. He earns 10$ for every subscription sold. Use s to represent the number sold and t for total earnings. Which of the following equations can be used to find Heath's total earnings t given s subscriptions sold?
Explanation
Since Heath earns 10 dollars for each subscription, his total earnings t are the number of subscriptions s multiplied by 10.
Question 15
Points: 1
A car rental company uses the equation c = 15h + 20 to determine the total cost c in dollars for renting a car for h hours. If a customer rents a car for 4 hours, what is the total cost they must pay?
Explanation
Substitute h=4 into the equation: c = 15(4) + 20 = 60 + 20 = 80.
Result Tracking
Answered0 / 15
Correct Answers0
Wrong Answers0
Current Percentage0%
Quiz Completed
This is your final result after answering all questions.
Final Result
0/150%
Correct Answers0
Wrong Answers0
Answered Questions0 / 15
Total Possible Points15
You can reopen the page to start again.
يمكنك تسجيل الدخول لحفظ سجل محاولاتك، معرفة أخطائك المتكررة، والحصول على نصائح مخصصة. تسجيل الدخول باستخدام Google
Here are more quizzes for الصف السادس by الفصل الثالث and subject رياضيات
This section is rendered only when the user reaches it while scrolling.
...
🍪
إشعار ملفات تعريف الارتباط
يستخدم هذا الموقع ملفات تعريف الارتباط لتحسين تجربة التصفح وقياس الأداء وعرض المحتوى بشكل أفضل.
باستخدامك للموقع فإنك توافق على استخدامنا لها وفق
سياسة الخصوصية.
