Juan and Maria transplanted their sunflowers. Juan's plant is 7.2 cm tall to begin with and is expected to grow 0.6 cm per day. Maria's plant is 4.8 cm tall to begin with and will grow 0.8 cm per day.

Question

Vocaloid · Answer

Next time please post the full question:

Juan and Maria transplanted their sunflowers. Juan’s plant is 7.2 cm tall to begin with and is expected to grow 0.6 cm per day. Maria’s plant is 4.8 cm tall to begin with and will grow 0.8 cm per day.

Write two equations that represent the relationship between height (y) and number of days (x) for Juan and Maria’s sunflowers.

After how many days will these plants be the same height?

How tall will the plants be when they are the same height?

Vocaloid · Answer

Consider Juan's plant first. Suppose x is the number of days. If Juan's plant grows 0.6 cm per day, then over x days it grows 0.6 * x or simply 0.6x. When x = 0 (i.e. at day 0 or the start) the height is 7.2. Therefore, we can represent the height (y) as y = 0.6x + 7.2.

Use the same logic to write an equation for Maria (starting at 4.8 cm and growing 0.8 cm per day).

After how many days will these plants be the same height? ---> since the two equations are in terms of height, you can set them equal to each other and solve for x.

How tall will the plants be when they are the same height? ---> once you've solved for x in the previous step, you can plug that x-value into either equation and evalute y.