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Doing a breakout room for math, I need help!! (Answer 4 and 5) will give brainliest!!

Doing a breakout room for math I need help Answer 4 and 5 will give brainliest class=

Respuesta :

Answer:

4. 2. y=5x;80hours

5. 1 Graph A

Answer:

option 2 and option 1

Step-by-step explanation:

(4)

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } [/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, 10) ← 2 points on the line

m = [tex]\frac{10-0}{2-0} [/tex] = [tex]\frac{10}{2} [/tex] = 5 , then

y = 5x

Substitute x = 16 into the equation

y = 5 × 16 = 80

He will work 80 hours in 16 weeks

(5)

The graph representing a proportional relationship is a straight line passing through the origin.

The only graph fitting this description is Graph A