Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.
A positioning device converts a control setting to an output Figure 1 shows its calibration curve. The rule is
on the branch shown. Both and are measured in device units.
Use Figure 1 to write down the range of
Find
State the domain of
Complete each statement, including the appropriate domain for
A local market sells honey in jars. Let be the quantity, in thousands of jars per week, and let be the price, in dollars per jar. Figure 1 shows the demand and supply models for this market.
Write down the quantity at which the demand curve intersects the quantity axis.
Using graphing technology, find the market equilibrium. Give the quantity and price, with their units.
Write down the price at which the supply curve intersects the price axis.
A technician records the water depth in a tank as it is filled. The measurements, recorded to the nearest are shown in Figure 1.
State a suitable type of model for the relationship between and based on the pattern of the data.
Use linear regression on the data in Figure 1 to determine a model in the form Give and to three significant figures.
Use your model to estimate the water depth after minutes. Give your answer to three significant figures.
State whether this estimate is an interpolation or an extrapolation, and give a reason why using the model for this estimate is appropriate.
A technician records the volume of water in a reservoir during a filling test.
| Time, (min) | 0 | 5 | 10 | 15 |
|---|---|---|---|---|
| Volume, (L) | 18 | 31 | 43 | 56 |
The technician proposes a linear model
State one feature of the measurements that supports the use of a linear model.
Using the measurements at and show that the fitted model is
Hence estimate the volume of water after 12 minutes.
State whether using the model to predict the volume after 24 minutes is interpolation or extrapolation.
Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.