Mathematics
Linear growth and decay
Practice questions
A plant's height is (H(t)=18+4t) cm. What will be the height at (t=5)?Water left in a tank is (W(t)=120-6t) litres. How much water will remain at (t=8)?Which of the following expressions represents linear decay of a quantity at a constant rate?Which of the following functions represents linear decay of a quantity with time \(t\)?A saving amount is (S(m)=200+50m) rupees. After how many months will the amount be (500) rupees?A battery remains (B(h)=100-8h) percent. When will the battery be (60%)?Which rule has initial value (35) and growth of (6) per step?Which rule has initial value (140) and decrease of (10) per step?Which of the following relations shows that y decreases at a constant rate as x increases?Which of the following equations shows that \(y\) decreases at a constant rate as \(x\) increases?If (A(t)=a+4t) and (A(3)=32), what is (a)?If (R(t)=b-6t) and (R(5)=50), what is (b)?Which of the following polynomials represents linear decay of a quantity with time \(t\)?Which of the following expressions represents linear growth of a quantity with time \(t\)?Which rule is linear growth and also has initial value (12)?Which rule represents linear decay and also has initial value 60?If (M(t)=m+5t) and (M(2)=25), what will (M(6)) be?If (N(t)=n-3t) and (N(4)=28), what will (N(9)) be?If (y=20+kx) and (y=35) at (x=3), what is (k)?If (y=100-kx) and (y=76) at (x=4), what is (k)?