Mathematics
Linear growth and decay
Practice questions
Which of the following relations represents linear growth, where the quantity increases at a constant rate as time increases?If (H(t)=36+4t), what is (H(10))?If (K(t)=144-12t), what is (K(8))?What type of change is represented by the function \(y=-3x+12\)?Which of the following equations represents linear decay, where \(y\) decreases by the same amount for every one-unit increase in \(x\)?If the number of objects starts from (5) and increases by (6) each step, what is the correct rule after (x) steps?If (y=42+3x), what is the value of (y) at (x=6)?If (y=85-5x), what is the value of (y) at (x=9)?Which of the following linear relations represents a decrease in y as x increases?Which of the following polynomials shows that as x increases, y decreases at a constant rate?A plant's height is (H(t)=30+6t) cm. What will be the height at (t=5)?Water left in a tank is (W(t)=180-12t) litres. How much water will remain at (t=9)?Which of the following expressions shows that a quantity decreases linearly by 5 units for every increase of 1 in n?In the context of functions, if a quantity is represented by \(R(t)=90-5t\), what situation does this expression describe?The saving amount is (S(m)=400+60m) rupees. After how many months will the amount be (760) rupees?A battery decreases by the model (B(h)=120-10h) percent. When will the battery be (50%)?Which rule has initial value (42) and growth of (5) per step?Which rule has initial value (210) and decrease of (14) per step?Which of the following relations shows that y decreases uniformly by 3 whenever x increases by 1?Which of the following relations represents linear decay, in which y decreases by the same fixed amount for every one-unit increase in x?