Question

Suppose f is a linear function with slope 3.7 and that f(4)=-7. What value of x gives f(x)=0?

Answer 1

Answer:

$x=5.9$

Step-by-step explanation:

we know that

The linear function in slope intercept form is equal to

$f(x)=mx+b$

we have

$m=3.7\\point (4,-7)$

substitute and solve for b

$-7=(3.7)(4)+b$

$-7=14.8+b$

$b=-21.8$

The linear function is

$f(x)=3.7x-21.8$

For f(x)=0

substitute and solve for x

$0=3.7x-21.8$

$3.7x=21.8$

$x=21.8/3.7$

$x=5.9$