Question

2.) A zoo is raising a young elephant. They put him on a special high-protein diet to gain weight rapidly. He gains 6 kilograms per month. After 8 months, he weighed 138 kilograms. Write an equation that will track the elephant’s weight. How much will the elephant weigh-in 20

months?

Answer 1

• The weight after 20 months is 210 kilos.

Explanation:

• 1 month = 6 kilos
• => 8 months = 6 x 8 = 48 kilos
• => x + 48 = 138
• => x = 90

This means that the starting point is 90 kilos.

• => 1 month = 6 kilos
• => 20 months = 6 x 20 kilos
• => 20 months = 120 kilos
• => 90 + 120 = weight in 20 months
• => 210 kilos = weight in 20 months

Hence, the weight after 20 months is 210 kilos.

Hoped this helped.

`BrainiacUser1357`

Answer 2

• y = 6x + 90
• 210 kg

Explanation:

This is a linear relationship:

• y = mx + b

We have:

• m = 6 and a point (8, 138)

Work out the y-intercept by using the above information:

• 138 = 6*8 + b
• b = 138 - 48
• b = 90

The equation is:

• y = 6x + 90

Find the value of y when x = 20:

• y = 6*20 + 90 = 120 + 90 = 210 kg