Mathematics
Linear growth and decay
Practice questions
If (p(x)=35+7x) and (q(x)=10x-4), when will (p(x)) and (q(x)) be equal?If (p(x)=220-12x) and (q(x)=76+4x), what is (x) for (p(x)=q(x))?For which (k) will (y=55+(k-7)x) show linear growth?For which (k) will (y=260-(k-4)x) show linear decay?If (R(x)=90+mx) and (R(11)-R(5)=78), what is (R(0))?If (S(x)=s-9x) and (S(4)-S(12)=72), which conclusion is correct?If (A(t)=44+6t) and (B(t)=70+11t), how does (B(t)-A(t)) change?If (C(t)=260-8t) and (D(t)=180-15t), how does (C(t)-D(t)) change?Which of the following relations represents the linear decay of a quantity at a constant rate over time?Which model shows that y decreases by a fixed positive amount r for every one-unit increase in x, and y equals p when x=0?If (f(x)=9x+28), when will (f(3x)-f(x)) be (108)?If (g(x)=240-12x), when will (g(x)-g(4x)) be (144)?If (P(t)=60+5t), (P(5)+P(15)) is equal to twice which (P(k))?If (Q(t)=250-10t), (Q(4)+Q(16)) is equal to twice which (Q(k))?If in (y=150+ax), (y) increases by (104) from (x=7) to (x=15), what is (a)?If in (y=300-bx), (y) decreases by (120) from (x=6) to (x=14), what is (b)?If (A(t)=40+6t) and (B(t)=76+3t), at what (t) will (A(t)) be (9) more than (B(t))?If (C(t)=260-9t) and (D(t)=80+5t), at what (t) will (C(t)) be (12) less than (D(t))?If (f(t)=a+7t) and the sum of (f(2), f(6), f(10)) is (225), what is (a)?If (g(t)=b-6t) and the sum of (g(3), g(7), g(11)) is (234), what is (b)?