A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where the temperature is 20°C. After 2 minutes, the temperature of the cup of tea is approximately 65°C. a. Determine the value of the proportionality constant, k b. Write a function for the temperature of the tea in the mug, T, in °C, as a function of time, t, in minutes. c. Graph the function, T

Q: Represent the relationship shown in the table using words, an equation, and a graph. Then determine…

A: We will represent the relationship using words, equation and graph as following.

Q: d. Find the vertical shift. e. Write down the equation of the function for the depth of the water…

A: The vertical shift, equation of the function for the depth of the water in terms of m and h are…

Q: Jessica leaves her house at 5:50 a.m. and goes for a 9-mile run. She returns to her house at 7:05…

A:

Q: The table shows the monthly revenue of a business rising exponentially since it opened an online…

A: Question - b. Write an equation to represent the revenue, R, as a function of months, m, since the…

Q: 12. Which graph represents the function y 3 %3D C. a. 12 -4 -2 4. -2 4. -12 -12 b. 12 12 6 + +++ 2 4…

A:

Q: A person rents a moving truck for the day. There is an initial rental fee of $20 and an additional…

A:

Q: determine whether the equation defines y as a function of x.   x + y2 = 1

A: Given- x+y2=1 To determine- whether the equation defines y as a function of x

Q: The speed, s, of sound is a function of temperature, T, of the air. Name the independent and…

A: The objective of the question is to identify the independent and dependent variables in the given…

Q: In a Miki Pansitan, a customer pays 20 pesos for an ordinary pansit and 10 pesos for any meat add on…

A: Given Price of an ordinary pansit =20 pesos  Rate of meat add on every order cost=10 pesos

Q: Patty's Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The…

A: Let, X : Rainfall, Y : Umbrella sales.

Q: 1.The cost c varies inversely as the number n of pencils. 2. The pressure P of a gas varies directly…

A: Given statements:- The cost c varies inversely as the number n of pencils The pressure P of a gas…

Q: y = 4 – 2(x – 5)²

A:

Q: Patty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The…

A: The correlation which helps to understand the strength and direction of association between the two…

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: ← a. Find a power function that models the data. b. Find a linear function that models the data. c.…

A: (a) Let us take the power function of the form y = axb

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: Complete each step. a. Create a scatter plot of the data. b. Determine a power function to model the…

A: The given data is:xy142223854190537066507100081500The power function for estimating y using the…

Q: Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then…

A: Given: Initial deposit: $100 each weak thereafter added $5 Let you added for x weeks Let amount at…

Q: You have $100 saved and plan to save $20 each month. Write a rule for the amount saved (in dollars)…

A: Let, Y = 20 X + 100 Where, Y = amount saved and X = number of months The amount saved is dependent…

Q: 3. Given the table of values, find the equation of the function: -9 2 -10 -7 4 11 26

A: The interpolation techniques are used to establish the functional relationship between any two…

Q: Which function has a greater rate of change, y = 2x or y = -4x

A: The given functions are:y=2x       and      y=-4x