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 resultant displacement of a person who first walks 50 meters north and then walks 30 meters south?
+
What is the derivative of the function f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 9?
+
Math question: "Graph the logarithmic function f(x) = log(base 2)(x) for x ≥ 1. Identify the x-intercept and the asymptote equation.
+
New questions in Mathematics
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
-x+3x-2,si x=3
The strength of Kefexin oral suspension is 100 mg/ml. Nora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses. Nora weighs 14 kg. How many milliliters of solution for Nora should be given as a single dose?
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
Write 32/25 as a percent
2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?
A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.
Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
9b^2-6b-5
Divide 22 by 5 solve it by array and an area model
Log(45)
Convert 78 percent to a decimal
(2m+3)(4m+3)=0
Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?
g(x)=3(x+8). What is the value of g(12)
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.