Question

question 4
1 point
a plant grows taller at a rate of 0.8 cm per day, starting from the time it was a seed. the height depends on the amount of time that has passed. write a direct variation equation to model the height, $y$, of the plant in cm over $x$ days.
(fill each blank with an integer, decimal, or variable.)
$y = $____ ____
question 5
1 point
chopped walnuts cost 51 cents per ounce. write a direct variation equation to model the price $y$, in dollars, of the walnuts depending on the weight, $x$, in ounces.
(fill each blank with an integer, decimal, or variable.)
$y = $____ ____

Explanation:

Step1: Define direct variation form

Direct variation follows $y=kx$, where $k$ = constant rate.

Step2: Solve Question 4

Substitute $k=0.8$ (growth rate):
$y = 0.8x$

Step3: Convert units for Question 5

51 cents = $\frac{51}{100} = 0.51$ dollars.

Step4: Solve Question 5

Substitute $k=0.51$ (cost per ounce):
$y = 0.51x$

Answer:

1. $y = 0.8x$
2. $y = 0.51x$