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
103 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)
What is the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and a conjugate axis length of 8 units?
+
What is the solution to the inequality 3x + 5 > 7?
+
What is the product of 7 multiplied by 12?
+
New questions in Mathematics
Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)
Derivative of x squared
Determine the momentum of a 20 kg body traveling at 20 m/s.
Divide 22 by 5 solve it by array and an area model
(-5/6)-(-5/4)
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
Convert 78 percent to a decimal
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
89, ÷ 10
Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25
Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​95% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That​ is, find the hip breadth for men that separates the smallest ​95% from the largest 5​%.
Convert 5/9 to a decimal
TEST 123123+1236ttttt
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
-1%2F2x-4%3D18
2.380× (1+0.05) / 0.95−0.05
To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;
At the end of a lively discussion within your study group, your class neighbor, for the relevance of your points of view, asks your opinion on the subject of their debate which is the following question Am I the slave of my unconscious? Solve the problem posed by this subject in an argumentative production.
A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"
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 ?)