Questions: Given h(t)=-14 t+8 a) Evaluate h(2) h(2)=-20 b) Solve h(t)=190 t=-13 c) Evaluate h(-39) h(-39)=554 d) Solve h(t)=302 t=

Solution Steps

Given the function $h(t) = -14t + 8$, substitute $t = 2$ into the equation: $$h(2) = -14(2) + 8 = -28 + 8 = -20$$ The result is: $$\boxed{h(2) = -20}$$

Set the function equal to 190 and solve for $t$: $$-14t + 8 = 190$$ Subtract 8 from both sides: $$-14t = 182$$ Divide both sides by $-14$: $$t = \frac{182}{-14} = -13$$ The solution is: $$\boxed{t = -13}$$

Substitute $t = -39$ into the function: $$h(-39) = -14(-39) + 8 = 546 + 8 = 554$$ The result is: $$\boxed{h(-39) = 554}$$

Final Answer