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A line graph titled Meals per Day has number of days on the x-axis, and number of meals prepared on the y-axis. At 5 days there are 30 meals prepared; at 10 days, 60 meals; at 15 days, 90 meals; at 20 days, 120 meals.
Use proportional reasoning to find the constant of proportionality for the relationship shown on the graph.

What is the value of y when the value of x is 1?

Respuesta :

The constant of proportionality is 6.

How to calculate the constant?

From the information given, the constant will be:

30 meals ÷ 5 days = 6

60 meals ÷ 10 days = 6

90 meals ÷ 15 days = 6

120 meals ÷ 20 days = 6

The constant of proportionality is 6. Therefore, the function will be:

y = kx

y = 6x

The value of y when x is 1 will be:

y = kx

y = 6 × 1 = 6

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