Question

The amount of time it takes Heather to cook dinner is directly proportional to the number of ingredients involved. If it takes her t minutes to cook dinner when there are n ingredients involved how many ingredients are involved if it takes her 30 minutes to cook dinner?

Answer 1

\[(n) \alpha (t) \] that means n is proportional, in this case they are directly proportional that means the relationship between (n) and (t) is linear

Answer 2

so with math expression would be,

n(t) = mt + b, where m is the slope and m=1;
where b is the cut with y axis and b =0; (because the graph started in the
origin,(0,0))
t variable in minutes;
n, the # of ingredients

Answer 3

finally, n(t) = 1t + 0, plug your values ;)