This weekend, Denise and her father are building a boat from a model kit. The kit uses a scale of 1 inch on the model to represent 20 inches on the actual boat.Complete the table.Inches on actual boat 20 40 Inches on model 1 4 5Graph the data from the table.10203040506070809010012345678910xyInches on actual boatInches on modelSubmitQuestionsanswered19Timeelapsed00 23 23HR MIN SECSmartScoreout of 10063Need a break?
Question
This weekend, Denise and her father are building a boat from a model kit. The kit uses a scale of 1 inch on the model to represent 20 inches on the actual boat.Complete the table.Inches on actual boat 20 40 Inches on model 1 4 5Graph the data from the table.10203040506070809010012345678910xyInches on actual boatInches on modelSubmitQuestionsanswered19Timeelapsed00 23 23HR MIN SECSmartScoreout of 10063Need a break?
Solution
The table should be completed as follows:
Inches on actual boat: 20, 40, 60, 80, 100 Inches on model: 1, 2, 3, 4, 5
This is because the scale of the model is 1 inch on the model to 20 inches on the actual boat. Therefore, for every 20 inches on the actual boat, there is 1 inch on the model.
To graph the data, you would plot the points (20,1), (40,2), (60,3), (80,4), and (100,5) on a graph. The x-axis would represent the inches on the actual boat and the y-axis would represent the inches on the model. The points should form a straight line, indicating a linear relationship between the size of the model and the size of the actual boat.
Similar Questions
In a scale model of a boat, 1 inch represents 10 feet.Scale:1 in 10 ftAnswer the following.(a)In the scale model, the length of the boat is 8 inches. What is the length of the real boat?feet(b)The height of the real boat is 30 feet. What is the height of the boat in the scale model?inches
Pam drew a scale drawing of a game room. She used the scale 1 inch = 2 feet. If the air hockey table's length is 5 inches in the drawing, how long is the actual air hockey table? 5 feet 10 feet 15 feet 20 feetSubmit
Martha observed a boat from the top of a 74.5 m cliff. She noted that the angle of depression to the boat was 22.70How far is the boat from the base of the cliff ?Round to the nearest 2 decimal places. (Put the numbers only in the box, do not enter any units.)
Martha observed a boat from the top of a 74.5 m cliff. She noted that the angle of depression to the boat was 22.70How far is the boat from the base of the cliff ?Round to the nearest 2 decimal places.
Data used in this question for the Snapper (Pagrus auratus), a fish found in Australian waters is takenfrom Fisheries Research and Development Corporation and also the Australian National SportfishingAssociation, with some modifications.In this question, perform all calculations to two decimal places of accuracy.A von Bertalanffy growth model predicting the average length (cm) of an individual Snapper at age tyears is given byL(t) = 84(1 − 0.90e−0.05t ).(a) What length does the length model predict for a 3 year old fish?(b) Solve the equation L(t) = 25 to find the age at which the model predicts a length of 25cm.Show your working.(c) The weight W (g) of Snapper is related to its length L (cm) by the formulaW = aL3 , a is a constant.Use the fact that the average weight of an individual of length 15cm is 300g to estimate theparameter a.(d) What weight does this model predict for an individual of length 20cm?(e) Use some basic algebra and the index rules to rearrange the formula W = aL3 so that the lengthL is expressed as a function of weight W.(f) Use your answer to (e) to predict the length in metres of a fish weighing 1000g.(g) Use the above answers to give a model for the weight of Snapper in grams at age t years
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.