Because the line passes through the origin, the relationship between $x$ and $y$ is proportional and can be written in the form $y=kx$, where $k$ is the constant of proportionality. Using the point $(4,10)$, substitute into $y=kx$:

$10=k(4)$

So $k=\frac{10}{4}=\frac{5}{2}$. Therefore, the equivalent expression for the relationship is $y=\frac{5}{2}x$.

Because the relationship is proportional, the distance per lap is constant and can be found from the two points on the graph. From $(3,1.2)$ to $(8,3.2)$, the runner completes $8-3=5$ more laps and runs $3.2-1.2=2.0$ more miles. So the unit rate is $\frac{2.0}{5}=0.4$ mile per lap. To find the number of laps for 5 miles, solve $0.4x=5$. This gives $x=\frac{5}{0.4}=12.5$. Therefore, the runner would complete $12.5$ laps.

Let $a$ be the number of cups of almonds and $r$ be the number of cups of raisins.

The ratio requirement gives $\frac{a}{r}=\frac{3}{5}$, so the amounts must be in the form $a=3x$ and $r=5x$ for some positive number $x$.

The total is 64 cups, so

Then the number of cups of raisins is

So the correct answer is $40$.

The table shows a proportional relationship between pounds and cost. First find the unit rate: $\frac{5.40}{2}=2.70$ dollars per pound. This matches the other rows because $\frac{13.50}{5}=2.70$ and $\frac{21.60}{8}=2.70$. Then divide the total amount of money by the cost per pound: $\frac{18.90}{2.70}=7$. So $18.90$ dollars buys $7$ pounds of apples.

Let $x$ be the number of boxes. Plan A costs $6+2x$, and Plan B costs $3x$. To find when the plans cost the same, set the expressions equal: $6+2x=3x$. Subtract $2x$ from both sides to get $6=x$, so $x=6$. Therefore, the statement that must be true is that the two plans cost the same when shipping 6 boxes.