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1 of 8 0-day streak

Read and interpret a straight-line graph

Question 1 of 8

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The horizontal variable is time; the vertical variable is distance remaining

The horizontal axis is measured in minutes. The line passes through \(A(7, 5)\) and \(B(8, 3)\)

The vertical axis is measured in metres

\[y = 19 - 2x\]

Treat the drawn segment as the known interval for this exercise. Beyond it, assume the same linear model continues only while the quantities remain physically possible. The stated coordinates and rule use graph units

Cartesian graph with horizontal axis time in minutes and vertical axis distance remaining in metres. The window is x from 6 to 9 and y from 0 to 8. Unit gridlines are shown. Each vertical grid unit is one stated vertical-axis unit. The drawn segment runs from (6, 7) to (9, 1). The displayed rule is y equals minus 2 x plus 196789012345678ABTime (min)Distance left (m)
(a)1 mark

At time = \(7\) minutes, calculate the distance remaining

(b)1 mark

Find the signed change in distance remaining as time goes from \(7\) to \(8\) minutes

(c)1 mark

Is the value read at time = \(7\) minutes an interpolation or an extrapolation?