Question

date: ____ per ____
directions: evaluate each expression if ( w = 2 ), ( x = 7 ), ( y = 24 ), and ( z = 6 ).

1. ( 7w )
2. ( x + 16 )
3. ( y div 8 )
4. ( x^2 + w )
5. ( \frac{y - 2z}{x} )
6. ( 16w + 3z )
7. ( x^2 + 2y )
8. ( 8(3 + w^2) )
9. ( y - 5w + 7z )
10. ( \frac{1}{2}w^3 )
11. ( \frac{3}{4}y + 10 )
12. ( 20 - \frac{9}{5}(x + 2) )
13. ( \frac{8}{9}x^2 - 2z ) ( (\text{if } x = 6) )
14. ( 2a + b ) ( left( \text{if } a = \frac{5}{12} \text{ and } b = \frac{1}{3}

ight) )

gari bought strawberries and bananas from the grocery store to make smoothies. the amount he spent can be represented by the expression ( 1.8a + 0.65b ), where ( a ) is the number of pounds of strawberries and ( b ) is the number of pounds of bananas. if gari bought missing number pounds of strawberries and 1.4 pounds of bananas, how much did he spend?

Explanation:

Let's solve the problem about Grant's spending. First, we know the expression for the amount spent is \(1.8s + 0.65b\), where \(s\) is the pounds of strawberries and \(b\) is the pounds of bananas. Wait, the problem says "if Grant [let's assume he bought, say, maybe a typo? Wait, maybe the original problem has \(s\) as some value, but in the image, maybe it's a typo, but let's check the visible part: "if Grant [maybe] of strawberries and 1.4 pounds of bananas" – maybe a missing number for strawberries? Wait, maybe it's a typo, but perhaps the intended values: maybe \(s = \) some number, but maybe in the original problem, maybe \(s = 2\) or another? Wait, no, let's re-express. Wait, the user's image: "Grant bought strawberries and bananas... amount he spent can be represented by the expression \(1.8s + 0.65b\), where \(s\) is pounds of strawberries and \(b\) is pounds of bananas. If Grant [maybe a number] of strawberries and 1.4 pounds of bananas, how much did he spend?" Wait, maybe there's a missing number for \(s\), but perhaps it's a typo, but maybe the intended is, for example, if \(s = 2\) (common), but no, let's check the image again. Wait, the image's text: "Grant bought strawberries and bananas from the grocery store to make strog amount he spent can be represented by the expression \(1.8s + 0.65b\), where pounds of strawberries and \(b\) is the number of pounds of bananas. If Grant of strawberries and 1.4 pounds of bananas, how much did he spend?" There's a missing number for \(s\). But maybe it's a mistake, and perhaps the intended \(s = 2\) (as in the top where \(w=2\), \(x=7\), \(y=24\), \(z=5\) – maybe \(s\) is \(x=7\)? Wait, no. Alternatively, maybe the problem is: suppose \(s = 2\) (from the top variables: \(w=2\), \(x=7\), \(y=24\), \(z=5\)), but that's a guess. Wait, no, let's assume that maybe the number of strawberries is, say, 2 pounds (since \(w=2\) in the top). Wait, but this is unclear. Alternatively, maybe the original problem has \(s = 2\) and \(b = 1.4\). Let's proceed with that assumption (since \(w=2\) is given in the top for other problems). So \(s = 2\), \(b = 1.4\).

Step1: Identify the values of \(s\) and \(b\)

Assume \(s = 2\) (pounds of strawberries) and \(b = 1.4\) (pounds of bananas).

Step2: Substitute into the expression \(1.8s + 0.65b\)

First, calculate \(1.8s\):
\(1.8 \times s = 1.8 \times 2 = 3.6\)

Then, calculate \(0.65b\):
\(0.65 \times b = 0.65 \times 1.4\)
\(0.65 \times 1.4 = 0.91\)

Step3: Add the two results

Now, add \(3.6\) and \(0.91\):
\(3.6 + 0.91 = 4.51\)

Wait, but if the value of \(s\) is different, the answer changes. But since the image has \(w=2\), \(x=7\), \(y=24\), \(z=5\), maybe \(s = x = 7\)? Let's check that. If \(s = 7\), \(b = 1.4\):

Step1: Substitute \(s = 7\), \(b = 1.4\)

\(1.8s + 0.65b = 1.8(7) + 0.65(1.4)\)

Step2: Calculate each term

\(1.8 \times 7 = 12.6\)
\(0.65 \times 1.4 = 0.91\)

Step3: Add them

\(12.6 + 0.91 = 13.51\)

But the problem's text is cut off, so maybe the intended \(s\) is 2 (from \(w=2\) in the top). Alternatively, maybe it's a typo, but given the top variables, let's assume \(s = 2\) (as \(w=2\) is given). So the calculation with \(s=2\), \(b=1.4\) gives \(4.51\). If \(s\) is another number, adjust accordingly. But based on the visible variables ( \(w=2\), \(x=7\), \(y=24\), \(z=5\) ), maybe \(s = x = 7\), leading to \(13.51\). However, without the exact \(s\) value, but assuming a common scenario, let's proceed with \(s = 2\) (as a sample).

Solving the expression \(1.8s + 0.65b\) (assuming \(s = 2\), \(b = 1.4\)):

Step1: Substitute \(s = 2\), \(b = 1.4\)

\(1.8(2) + 0.65(1.4)\)

Step2: Calculate \(1.8 \times 2\)

\(1.8 \times 2 = 3.6\)

Step3: Calculate \(0.65 \times 1.4\)

\(0.65 \times 1.4 = 0.91\)

Step4: Add the results

\(3.6 + 0.91 = 4.51\)

Answer:

\(\$4.51\) (if \(s = 2\)) or \(\$13.51\) (if \(s = 7\)). However, likely a typo, and the intended \(s\) is, say, 2, so the answer is \(\$4.51\).