Mr. Carver is mixing soil for his garden. He wants the soil to be in the proportion of 1 part sand to 3 1/2 parts compost. PART A

Complete the table to show how much compost he needs to add for each amount of sand to maintain the proportional relationship.

Sand: 1 - 3 - 5 - 7

Compost: 3 1/2 - ___ - ___ - ___ -

PART B

What is the unit rate of parts compost to parts sand? What is the unit rate of parts sand to parts compost?

10 1/2 - 17 1/2 - 24 1 /2

Step-by-step explanation:

You multiply 3 1/2 by each part sand. So, 3 times 3 1/2, 5 times 3 1/2, and 7 times 3 1/2 :). The unit rate is 2/7 parts compost to one part sand, and 1 part sand to 3 1/2.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.