Question

Ou are interested in growing a sunflower plant. You plan to measure the height of the flower each week. When you planted the flower, the initial height was 5 inches, and it will grow at a rate of 3 inches per week from the time you plant it.

What is the linear function to describe the corresponding scenario?
a) y = 5x
b) y = 3x
c) y = 5 + 3x
d) y = 5 + 3x

What would be the height after 10 weeks?
a) 30 inches
b) 15 inches
c) 35 inches
d) 10 inches

What is the domain, range, rate of change, and y-intercept for the linear function?
a) Domain: All real numbers, Range: All positive real numbers, Rate of change: 3, Y-intercept: 5
b) Domain: All real numbers, Range: All real numbers, Rate of change: 5, Y-intercept: 3
c) Domain: All real numbers, Range: All non-negative real numbers, Rate of change: 5, Y-intercept: 3
d) Domain: All positive real numbers, Range: All non-negative real numbers, Rate of change: 3, Y-intercept: 5

Answer 1

The linear function to describe the height of the sunflower plant is c) y = 5 + 3x. After 10 weeks, the height would be c) 35 inches. The d) domain is all real numbers, range is all non-negative real numbers, rate of change is 3, and the y-intercept is 5.

Step-by-step explanation:

The linear function to describe the height of the sunflower plant is y = 5 + 3x (option c).

To find the height after 10 weeks, we can substitute x = 10 into the equation: y = 5 + 3(10) = 35 inches (option c).

The domain for this linear function is all real numbers, the range is all non-negative real numbers, the rate of change is 3, and the y-intercept is 5 (option d).