candle is 17 inches tall after burning for 3 hours. After 5 hours, it is 15 inches tall. Write linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning for 8 hours.

Q: A local aquarium found that if the price of admission was $17. the attendance was about 1950…

A: Consider the given information, Let the first point 17,1950 and the second point is 14,2450.   Let…

Q: The amount of money Jamie earns is proportional to the number of hours she works. Jamie earns $62.50…

A: Given information: Amount of money earned by Jamie=$62.50Number of hours worked=5 hours

Q: Sophia has already prepared 1 kilogram of dough and will continue preparing 1 kilogram of dough…

A: Methods to formulate an equation help to find the required equation corresponding to the problem.…

Q: You were 20 inches tall when you was born, and 48 inches tall on your 8th birthday. Create a linear…

A: Let x = The number of years      y = The height in inchesWe have the point(0 , 20) →at birth the…

Q: After about 9 hours of a steady 50-knot wind, the height of waves int he ocean was found to be 23…

A: Let y feet be the height of waves after x hours of a steady 50-knot wind. Then according to the…

Q: 3 people to go on a horse carriage ride. Using c to represent the cost per person and n to represent…

A:

Q: After planting an Aspen tree that is 60 inches (5 feet) tall,  an Aspen tree will then grow at a…

A:

Q: 1. slope = -6; passes through (-4, 1)

A: →Equation of straight line in slope-intercept form is given as,                          y = mx +…

Q: A 10-pound weight stretches a spring 4 inches. A 15-pound weight stretches the same spring 6 inches.…

A: Here we have to find the linear equation describing the given condition. Here we take y axis…

Q: A bucket is used to fill a large cylindrical vat with water. After pouring buckets of water into the…

A:

Q: 1. Which equation models the linear relationship shown in the table? -5 -11 5. -3 10 Ay=--x-6 4 4 By…

A:

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: Determine the equation on the line

A:

Q: Tyler’s walking rate is 5 yards per one second. Write an equation that utilizes Tyler’s walking…

A:

Q: An automated production line uses distilled water at a rate of 350 gallons every 2 hours to make…

A: It is given that the water is pumped at the rate of 350 gallons every 2 hours. Hence the rate is 175…

Q: dy + y dx dy – 3xy = 5y sin x xy dx2

A:

Q: Every three minutes , 500 feet of paper is used off of a 6,000 foot-roll to print the pages of a…

A: Given that every 3 minutes, 500 feet of paper is used off a 6000 foot rool to print the pages of a…

Q: A plant is already 9 centimeters tall, and it will grow one centimeter every month. Let H  be the…

A: Here the initial height of the plant = 9 cm   plant grow in every month = 1 cm   Let H denotes the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.