contestada

Rowan has $50 in a savings jar and is putting in $5 every week. Jonah has $10 in his own jar and is putting in $15 every week. Each of them plots his progress on a graph with time on the horizontal axis and amount in the jar on the vertical axis. Which statement about their graphs is true?
(1) Rowan's graph has a steeper slope than Jonah's.(2) Rowan's graph always lies above Jonah's.(3) Jonah's graph has a steeper slope than Rowan's.(4) Jonah's graph always lies above Rowan's.

Respuesta :

Answer:

(3) Jonah's graph has a steeper slope than Rowan's

Step-by-step explanation:

First we are going to write the equations for the amount of money that each one save

y = a+bx

 Where y: Amount of money in the jar

             a: Initial saving

             b: Money saved every week ( graph's slope )

             x: Number of week

Then, for Rowan

y = 50 + 5x

and for Jonah

y = 10 + 15x

Initially Rowan's graph lies above Jonah's graph but this situation change with time.

It is always true that Jonah's graph has a steeper slope than Rowan's, because for Rowan's graph the slope is 5 and for Jonah's graph the slope is 15

Then the answer is:  

(3) Jonah's graph has a steeper slope than Rowan's

3) Jonah's curve has a steeper slope than Rowan's is True, All others are false

  • Rowan savings already (Intercept of Curve) = $ 50 ; Rowan Additional savings per week Slope with time) = $ 5

Rowan Savings Equation = 50 + 5t , where t is weekly time

  • Jonah savings already (Intercept of Curve) = $ 10 ; Jonah Additional savings per week (Slope with time)  = $ 15

Rowan Savings = 10 + 15t , where t is weekly time

  • Jonah's curve has higher (steeper) slope, denoting more change in dependent variable 'savings' with change in independent variable weekly time.
  • t weeks   Rowan savings       Jonah savings

        1             50 + 5 (1) = 55           10 + 15 (1) = 25

        2            50 + 5 (2) = 60          10 + 15 (2) = 40

        3            50 + 5 (3) = 65          10 + 15 (3) =  55

        4            50 + 5 (4) = 70           10 + 15 (4) = 70

        5            50 + 5 (5) = 75           10 + 15 (5) = 85

At t weeks < 3 , Rowan savings > Jonah savings. At t weeks > 4, Jonah savings > Rowan savings. At t = 4 units, their savings are equal. So, none savings curve is above the other 'always'.

To learn more, refer https://brainly.com/question/18672496?referrer=searchResults

Otras preguntas