Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.

Question

Grass Seed
Brand
Price
Coverage
A
$18.99
3,000 square feet
B
$22.99
4,000 square feet
C
$31.99
5,000 square feet
D
$36.99
6,000 square feet

Which brand of seed has the lowest cost per square foot?
Brand A
Brand B
Brand C
Brand D

Answer 1

To determine which brand of grass seed has the lowest cost per square foot, we need to calculate the cost per square foot for each brand.

Brand A:

• Price: \( $18.99 \)
• Coverage: \( 3,000 \) square feet
• Cost per square foot: \( \frac{18.99}{3000} \approx 0.00633 \) dollars/sq ft

Brand B:

• Price: \( $22.99 \)
• Coverage: \( 4,000 \) square feet
• Cost per square foot: \( \frac{22.99}{4000} \approx 0.00575 \) dollars/sq ft

Brand C:

• Price: \( $31.99 \)
• Coverage: \( 5,000 \) square feet
• Cost per square foot: \( \frac{31.99}{5000} \approx 0.006398 \) dollars/sq ft

Brand D:

• Price: \( $36.99 \)
• Coverage: \( 6,000 \) square feet
• Cost per square foot: \( \frac{36.99}{6000} \approx 0.006165 \) dollars/sq ft

Now we compare the costs per square foot:

• Brand A: \( \approx 0.00633 \)
• Brand B: \( \approx 0.00575 \)
• Brand C: \( \approx 0.006398 \)
• Brand D: \( \approx 0.006165 \)

The lowest cost per square foot is from Brand B, at approximately \( 0.00575 \) dollars per square foot.

Therefore, Brand B has the lowest cost per square foot.