Agroup of mountain climbers begin a expedition with 250 pounds of food. they plan to eat a total of 12 pounds of food per day . write and solve a linear equation to find the number of days their food will last

The equation representing total food consumption in days can be given as:

where represents total food taken which is =250 pounds and represnts the number of days the food will last.

The food will last for days.

Step-by-step explanation:

Total pounds of food taken at the beginning =  250 pounds

Food consumed per day = 12 pounds

Let the total food at the beginning be = pounds

Let number of days the food will last be = days

Using unitary method to find the food consumed in days.

If in 1 day food consumed = 12 pounds

Then, in days food consumption = pounds

So,the equation representing total food consumption in days can be given as:

Total food taken =250 pounds

Plugging in in the equation:

Solving for  

Dividing both sides by 12.

Simplifying fractions.

Converting fraction to mixed number by writing quotient as whole number, remainder as numerator and divisor as denominator.

∴ days.

Thus, the food will last for days.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.