john is 70 years younger than sharon. sharon is 4 times as old as john. if you let s = sharons age and j =…

Explanation:

Step1: Set up equations

We know that John is 70 years younger than Sharon, so $j=s - 70$. Also, Sharon is 4 times as old as John, so $s = 4j$.

Step2: Substitute

Substitute $s = 4j$ into $j=s - 70$, we get $j=4j-70$.

Step3: Solve for j

Subtract $4j$ from both sides: $j-4j=-70$, so $- 3j=-70$, then $j=\frac{70}{3}\approx23.33$. And $s = 4j=\frac{280}{3}\approx93.33$. The first - equation $j=s - 70$ has a y - intercept of - 70 and a slope of 1. The second - equation $s = 4j$ or $j=\frac{1}{4}s$ has a y - intercept of 0 and a slope of $\frac{1}{4}$. We need to find the graph where the two lines $y=x - 70$ and $y=\frac{1}{4}x$ intersect at the point $(\frac{280}{3},\frac{70}{3})$.

Answer:

Without seeing the actual options clearly labeled, we can't pick a specific graph. But the correct graph should have two lines: one with a slope of 1 and y - intercept of - 70, and another with a slope of $\frac{1}{4}$ and y - intercept of 0, intersecting at the point $(\frac{280}{3},\frac{70}{3})$.