Question
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1.11 What type of a relationship is represented by the table above, explain your answer. 1.12 Write the time it takes Alice to bake 15 cakes in hours and minutes. 1.14 Use the table in 1.10 to name, label, and draw line graph 1.13 Calculate the total surface area of the room she works in. 1.14 Determine the volume of the room. 1.15 What is the area of the floor in \( \mathrm{cm}^{2} \) The following formulas may be used: Area \( = \) Length \( X \) Breadth Total Surface Area \( =2 L B+2 L H+2 B H \) Volume \( =L X B X H \)

Ask by Williams Whittaker. in South Africa
Mar 05,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To determine the type of relationship in 1.11, you need to analyze the data in the table. For 1.12, calculate the time by setting up a proportion based on the given data. For 1.13 and 1.14, use the provided formulas with the room's dimensions. For 1.15, multiply the room's length and breadth. Please provide the necessary data for exact calculations.

Solution

To solve the problems you've presented, let's break them down step by step. ### 1.11 Relationship Type To determine the type of relationship represented by the table, we need to analyze the data. Since the table is not provided, I will assume it shows a consistent pattern (e.g., linear, quadratic, etc.). - **Linear Relationship**: If the change in one variable results in a constant change in another variable, it indicates a linear relationship. - **Non-linear Relationship**: If the change in one variable results in a varying change in another variable, it indicates a non-linear relationship. Without the specific data, I cannot definitively classify the relationship. Please provide the table for a more accurate analysis. ### 1.12 Time to Bake 15 Cakes To calculate the time it takes Alice to bake 15 cakes, we need the time it takes to bake a certain number of cakes (which should be in the table). Assuming it takes \( t \) hours to bake \( n \) cakes, we can set up a proportion: \[ \text{Time for 15 cakes} = \frac{t}{n} \times 15 \] Please provide the specific values for \( t \) and \( n \) to calculate the time. ### 1.13 Total Surface Area of the Room Using the formula for total surface area: \[ \text{Total Surface Area} = 2LB + 2LH + 2BH \] Where: - \( L \) = Length - \( B \) = Breadth - \( H \) = Height Please provide the dimensions of the room (Length, Breadth, Height) to calculate the total surface area. ### 1.14 Volume of the Room Using the formula for volume: \[ \text{Volume} = L \times B \times H \] Again, I need the dimensions of the room to perform this calculation. ### 1.15 Area of the Floor Using the formula for area: \[ \text{Area} = L \times B \] Please provide the Length and Breadth to calculate the area of the floor in \( \mathrm{cm}^2 \). ### Summary To proceed with the calculations for 1.12, 1.13, 1.14, and 1.15, I need the specific values for the time it takes to bake cakes, and the dimensions of the room (Length, Breadth, Height). Please provide this information for further assistance!

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Bonus Knowledge

When we deal with relationships shown in a table, we often look for patterns that can represent proportional, linear, or nonlinear relationships. For example, if the increments in one variable consistently lead to predictable changes in another, we might be observing a linear relationship. These types of relationships play a crucial role in understanding how different elements interact in mathematical and real-world situations. To determine the time it takes Alice to bake 15 cakes, you may need to know her baking rate. If she bakes, say, 2 cakes per hour, for 15 cakes, you would calculate this as \( 15 \div 2 = 7.5 \) hours, which converts to 7 hours and 30 minutes. This kind of calculation underscores the importance of knowing your rates in problem-solving scenarios!

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