Find k such that f(x) is continuous at x=30
Is this how you would solve it?
1.25(30)=37.5
1.10(30)+k=37.5
33+k=37.5
k=37.5-33
k=4.5
??

this is correct

Step-by-step explanation:

f continous in x=30 means that it should be the same value for 1.25 x 30 and 1.10 x 30 + k so k =4.5

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: