Question

Create a word problem for a linear equation, that has a constant rate of change

252

likes
1258 views

Answer to a math question Create a word problem for a linear equation, that has a constant rate of change

Expert avatar
Birdie
4.5
75 Answers
Sure! Here's a word problem that involves a linear equation with a constant rate of change:

Problem:
Alice is training for a marathon. On her first day of training, she runs for 30 minutes and covers a distance of 5 kilometers. Each week, she increases her training time by 10 minutes. Assuming that Alice maintains a constant rate of change in the distance she covers per minute, how far will she run in 60 minutes of training in her fourth week?

Solution:
To solve this problem, we need to find the constant rate of change in the distance covered per minute.

First, let's calculate the rate of change in the distance covered per minute on the first day:
Rate of change = Distance / Time = 5 km / 30 min = 1/6 km/min

Since Alice increases her training time by 10 minutes each week, we can find the total training time in the fourth week:
Total training time in the fourth week = 30 min + (10 min * 3 weeks) = 30 min + 30 min = 60 min

Now, we can use the constant rate of change to calculate the distance Alice will run in 60 minutes of training in her fourth week:
Distance = Rate of change * Time = (1/6 km/min) * 60 min = 10 km

Answer:
Alice will run a distance of 10 kilometers in 60 minutes of training in her fourth week.

Frequently asked questions (FAQs)
Math Question: Solve for x: log(base 2)(2^3x) = 4
+
What is the surface area of a rectangular solid with width w, height h, and length l?
+
What is the standard deviation of the set: {4, 8, 12, 16, 20}?
+
New questions in Mathematics
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
what is 3% of 105?
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.
2.5 / 21.85
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
(5y 9)-(y 7)
A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?
Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.
User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
Use a pattern to prove that (-2)-(-3)=1
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.
How to convert 45 kg into grams
A house located within the city limits has a current market value of $325,000 according to a recent appraisal. The assessed value from the last county wide tax valuation is $272,475. The tax rate is $0.36 per hundred for the county and $0.72 per hundred for the city. What is the total annual property tax liability on the property? $2340 $3510 $1962 $2943
Write an expression using compatible numbers that can be used to estimate the quotient 629\86
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)