Answer:
![k=-89](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mxg532rmxup92klo98nrqt7v7s1141v6rj.png)
Explanation:
The correct question is
Find the output, k, when the input, t, is -7 . k = 10t-19
we have
![k= 10t-19](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kfaph87e7rejb0v3okh3eny2nnvn1i1csl.png)
This is a linear equation in slope intercept form
where
k is the output value
t is the input value
The slope is
![m=10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/smvr5uecf2yu0xbt34gnv32prz9nynd08g.png)
The y-intercept (or k-intercept in this problem) is
![b=-19](https://img.qammunity.org/2021/formulas/mathematics/middle-school/btdj21yu6td64sxjj5o4zn9fkehcpxbc8p.png)
To find out the value of k, substitute the value of t in the given equation
so
For t=-7
![k= 10(-7)-19](https://img.qammunity.org/2021/formulas/mathematics/middle-school/a1l0hjxvkqtumhqyyg2i9aksvzh9wqxg8w.png)
![k=-89](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mxg532rmxup92klo98nrqt7v7s1141v6rj.png)